Permutations and Combinations Tutorial

This video tutorial focuses on permutations and combinations. It contains a few word problems including one associated with the fundamental counting principle. Permutations are useful to determine the different number of ways to arrange something where as combinations is useful for determining how many ways to combine something when the order does not matter such as selecting members to form a committee. In a permutation, the order matters. Examples include repeated symbols or arranging letters in a word such as alabama or mississippi. This video also discusses the basics of permutations and combinations using letters such as ABCD.
Full-Length Math & Science Videos:
/ collections
___________________________________
Intro to Statistics:
• Introduction to Statis...
Probability - Basic Intro:
• Introduction to Probab...
Binomial Theorem:
• Binomial Theorem Expan...
Permutations and Combinations:
• Permutations and Combi...
Factorials Explained!
• Factorials Explained!
__________________________________
Parametric Equations:
• Parametric Equations I...
Ellipses - Conic Sections:
• Writing Equations of E...
Hyperbolas - Conic Sections:
• Hyperbolas - Conic Sec...
Parabolas - Conic Sections:
• Finding The Focus and ...
__________________________________
Arithmetic Sequences:
• Arithmetic Sequences a...
Geometric Sequences:
• Geometric Series and G...
The Fibonacci Sequence:
• Mathematics - Fibonacc...
Mathematical Induction:
• Mathematical Induction...
Induction Divisibility:
• Induction Divisibility
__________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

Пікірлер: 1 800

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/h4OG3Namh6q_ZrQ.html

  • @hilyanehoya9711

    @hilyanehoya9711

    Жыл бұрын

    But us we did permutations with and without repetitions Why am i only seeing without repetitions

  • @alfredbconteh

    @alfredbconteh

    2 ай бұрын

    Deeply explain the concept and also simple and easy to understand

  • @benjamin_dinnerbone7128
    @benjamin_dinnerbone71283 жыл бұрын

    2 hours before a test and i always find myself here

  • @lilactiktok

    @lilactiktok

    2 жыл бұрын

    Fellow habesha 😄

  • @womav8803

    @womav8803

    2 жыл бұрын

    Same

  • @rahelina7176

    @rahelina7176

    2 жыл бұрын

    Me right now lol

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    @ajcooperasakid5645

    2 жыл бұрын

    Day before 🤣🤣

  • @MissPhilemon

    @MissPhilemon

    2 жыл бұрын

    @@lilactiktok zero o'clock

  • @vanpeng9917
    @vanpeng99173 жыл бұрын

    This man just taught me permutations and combinations in 7 minutes when my teacher couldn't do it for an hour.

  • @joshr.5199

    @joshr.5199

    2 жыл бұрын

    I would like this comment, but I see it is at 69. Nice.

  • @iyah1050

    @iyah1050

    2 жыл бұрын

    @@joshr.5199 it's now 169

  • @weyden7590

    @weyden7590

    2 жыл бұрын

    @@iyah1050 it's now 174...but i added a like.

  • @karthikeyang2037

    @karthikeyang2037

    2 жыл бұрын

    @@weyden7590 176

  • @weyden7590

    @weyden7590

    2 жыл бұрын

    @@karthikeyang2037 its 177 now lmaooo let's stop😂

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    @Fahimsy3d3 жыл бұрын

    This legend right here has been saving my life since 11th grade, and now I am going into my third year of aerospace engineering and still still following through his videos. Sometimes I wish more of my tuition went to Organic Chemistry Tutor than my professors.

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    @namanjain3542

    Жыл бұрын

    you can donate him

  • @peppathedemonslayer5338

    @peppathedemonslayer5338

    Жыл бұрын

    I'm in grade 9 when I learn this in school, this is not fair

  • @hookey24

    @hookey24

    Жыл бұрын

    This is not permutation, but variation vs combination. He did not say anything about permutations!

  • @Quintessential.96

    @Quintessential.96

    Жыл бұрын

    ​@@hookey24 🤦🧐

  • @aditinarayanan

    @aditinarayanan

    11 ай бұрын

    @@hookey24 you *may* just *may* wanna look at the title again... 😶

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    @tcoolspy Жыл бұрын

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    @uncracked2302

    Жыл бұрын

    Yes!!!

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    @AllergicToMango

    11 ай бұрын

    $999,999.99 Love your content

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    @KayThePlug

    Ай бұрын

    @@AllergicToMango ?

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    @unknownplayer1115

    10 күн бұрын

    @@AllergicToMango😂😂

  • @LordLauK
    @LordLauK2 жыл бұрын

    Who's here because you have a test tomorrow

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    @nashyeezy971

    2 ай бұрын

    Lol tomorrow??? 2hours away

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    @user-bp4jo4kh7v

    2 ай бұрын

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    @tylerdaniels7234

    Ай бұрын

    Me😂

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    Ай бұрын

    Me

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    @Ren-5

    Ай бұрын

    Today.....

  • @daniel5749
    @daniel57496 жыл бұрын

    "0 factorial does not equal 0, 0 factorial equals 1...if you're wondering why.... that's just the way it is. I don't have an answer for you." 10:52 Savage LOL

  • @DariusGaugamela

    @DariusGaugamela

    5 жыл бұрын

    That was awesome LOL

  • @prncess1848

    @prncess1848

    5 жыл бұрын

    The reason why 0! Equals 1 is because when you do 0!= 1!/1! (One factorial over one factorial) it just cancels out to 1. It’s the same if you were to do 2!=3!/3!. When you expand the equation, You would cancel out the 3 on the bottom with the three on the top and be left with 2 times 1 which, of course, is 2!

  • @dimitrijep7872

    @dimitrijep7872

    5 жыл бұрын

    @@prncess1848 u explained it right except that " 2!=3!/3! " should not have factorial in the denominator, thus it would look like " 2!=3!/3 " standard formula would be n! = (n+1)! / (n+1)

  • @neeraj8278

    @neeraj8278

    5 жыл бұрын

    Just think, how many ways are there to arrange 0 objects, there's one way, just like that...

  • @dylansanderson3663

    @dylansanderson3663

    5 жыл бұрын

    @@neeraj8278 exactly lol.

  • @richunclejoey2249
    @richunclejoey2249 Жыл бұрын

    As a 40yo+ self employed quantitative analyst I always find myself here to stay sharp. Great work. Best channel on the tube

  • @naadde

    @naadde

    Жыл бұрын

    I myself also come to videos like these just to repeat basics. In the end basics can't be mastered too well

  • @hookey24

    @hookey24

    Жыл бұрын

    This is not permutation, but variation vs combination. He did not say anything about permutations!

  • @psyko9505

    @psyko9505

    8 ай бұрын

    Hey, Can you please tell me what topics should i study to become a quant?

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    @andrewhooker71842 жыл бұрын

    This person is the reason I am passing my classes! Thank you for your easy-to-follow videos!

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    @amanuelbirhan95064 жыл бұрын

    It's funny when he says, "If you're wondering why...that's just the way it is."😂😂😂

  • @Rafael_Dimla

    @Rafael_Dimla

    3 жыл бұрын

    it eezz what it eezz

  • @nivritipedaballi4252

    @nivritipedaballi4252

    3 жыл бұрын

    its kinda hard, because hes just saying the formula, but it would have been nice if he explained why it is that way and how he got there its better teaching

  • @gustavlotz5415

    @gustavlotz5415

    2 жыл бұрын

    its because you can arrange the set { 0 } in 1 way

  • @rydm0541

    @rydm0541

    2 жыл бұрын

    okay so why is 0! = 1? 4! = 4 x 3 x 2 x 1 = 24 3! = 3 x 2 x 1 = 6. We divide 4 from 4!. 2! = 2 x 1 = 2. We divided 3 from 3!. 1! = 1, dividing 2 from 2! 0!???, divide 1 from 1!, its still one

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    @johnlloydperez9755

    2 жыл бұрын

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    @foursquin

    5 жыл бұрын

    ???

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    @roozko946

    5 жыл бұрын

    Yep

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    @justinsantos5751

    5 жыл бұрын

    This is why I don't cram before my exams

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    @seemabsajid9059

    5 жыл бұрын

    hahahha

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    @ohyeahyeah9711

    5 жыл бұрын

    MindCap lol

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    @haleyib584 Жыл бұрын

    Without you I probably would’ve failed my physics exam, so thank you for making these extremely helpful videos

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    @user-sp1of1ic3h4 ай бұрын

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  • @JT-od9hm
    @JT-od9hm3 жыл бұрын

    “If you want to know why? That’s just the way it is.. I don’t have an answer for you” best part of the video by far

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    @endzeitx5 жыл бұрын

    I haven't been attending much classes throughout the years, this guy keep saving me for my exams. Much thanks

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  • @cow9310
    @cow93104 ай бұрын

    Watching this 1 hour before my final exam

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    @hafeezahmed40236 жыл бұрын

    A wonderful voice and elegant way of explaining. I just like your voice and style of teaching. So nice.

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    @koenthepadawan2244

    6 жыл бұрын

    hafeez ahmed he sounded extra shmexy on this one HAHAHA soorrrryyy jk lmao

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    @frankcastle4814

    5 жыл бұрын

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    5 жыл бұрын

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    5 жыл бұрын

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    5 жыл бұрын

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    2 жыл бұрын

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    @patrycjaazarczyk9446 Жыл бұрын

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    @joshjam4359 Жыл бұрын

    Paying fees just to come and learn everything on KZread 😂

  • @miaazlan2412
    @miaazlan24123 жыл бұрын

    arrange=permutations 4:33 - calculating permutations 6:00 - calculating combinations 7:36 - sample questions + working

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    @rianshinwarie6703

    2 жыл бұрын

    scammer

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    2 жыл бұрын

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    2 жыл бұрын

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    @tristansalagoste4486

    3 жыл бұрын

    Same hahahaha

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    @cj07722

    3 жыл бұрын

    howd you do

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    @bunyodsuvonov8009

    3 жыл бұрын

    That's why I am watching. Mine is after 2 hours.

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    @keffahnjenga90793 жыл бұрын

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    @emmanuelwhite72722 жыл бұрын

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    @internet_nerds91566 жыл бұрын

    I have to really give a shout out to you. There is literally no one else that has your type of extensive videos on pre calc and other subjects. Of course there are better channels for certain subjects but you rival Khan Academy and other video making giants with great content. Thanks!

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    @josephore9613

    5 жыл бұрын

    Which channels I need a video for some topics he doesn't have e.g damped oscillation

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    @matthewneba3033

    4 жыл бұрын

    Khan Academy?

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    @minhtuando6775

    4 жыл бұрын

    Khan Academy is dusted by this guy. Really clear in explanation, no um, ah, um, um, f, f, etc.

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    4 жыл бұрын

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    3 жыл бұрын

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    @andrewhooker7184

    2 жыл бұрын

    Your wording hurts my brain.

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    @infectiouslizzie3 жыл бұрын

    You're saving my life in this Statistics class, thank you so so much for making these videos breaking down the steps and trying them out over and over. My brain needs this kind of teaching. Thank you!!!!!

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    @otaku_mcface91915 жыл бұрын

    I have my math test tomorrow and I accidentally fell asleep in the class where my teacher was explaining this and omg this helped so much thank you!!!!! You’ve saved my life for chemistry too! You’re awesome!!

  • @jamiesuka813
    @jamiesuka8135 жыл бұрын

    I love how he explains the difference between permutation and combination. It took a me a couple example to finally grasp the advantage of using the formula provided. Not only it made bigger equations to solve but instead of drawing them out which could take longer. The recognition of the two different problems is also an important factor because you don't want to end up using the wrong formula Jamie Toloa

  • @aa7352

    @aa7352

    3 жыл бұрын

    Same ! I didn't know the difference

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    @elithluxe7568

    2 жыл бұрын

    That's my issue. I understand everything and how to do it. But I don't understand how to know which one to use and to recognize the two types of problem

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    @asarereuben7123

    Жыл бұрын

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    @youngcranberry48210 ай бұрын

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    @amawm85994 жыл бұрын

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    @Krazieninja014 жыл бұрын

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    @dhimandas5673

    Жыл бұрын

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    Жыл бұрын

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    4 ай бұрын

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    @maria2k5 Жыл бұрын

    i've been struggling really badly in CIE additional mathematics for the past few months, mainly because i wasn't getting the hang of a few chapters, this one included. my ex math tutor introduced this chapter to me quite a long time ago, and today is the day i REALLY understood the concept, which is astonishing. i've always hated this chapter, because it seemed so confusing and incomprehensible. i tried reading the text book, that has even worse explanations, i went to my older sister, still didn't understand; and today i finally decided to go and check on the internet. i still wasn't getting it from trying a few channels and then i bumped into this guy. and im SO thankful, cause i cant believe i understood a concept that i've been struggling to grasp for MONTHS in a matter of 17 freaking minutes. dear organic chemistry tutor, if you're reading this, i want you to know that you're a hero. you have no idea how much of an immense help you were to me today, and to millions others. not all heroes wear capes, sometimes they run a youtube channel to help others out. keep up this amazing work!!

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    @AnimeMysteries2 жыл бұрын

    iruka sensei couldn't teach me this even with a whole week on just this subject, it was a drag. you taught me this in 10 minutes. you are now my new sensei, thank you

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    @Zion122

    2 жыл бұрын

    after seeing this comment, my faith in humanity has been restored once again

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    Жыл бұрын

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    4 жыл бұрын

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    @melb23boy663 жыл бұрын

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    @grace_mango61822 жыл бұрын

    You have such a gift with teaching! Thank you for being willing to share it with the world via youtube!

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    @HandledNanner2 жыл бұрын

    YOU explained in 15mins what i couldn't comprehend in a 3hr class ! Thank you ! keep being amazing !

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    @dorfinhorg94583 жыл бұрын

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    @nosikuminyoi183 жыл бұрын

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    @waelbadria93853 жыл бұрын

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    @teenamartina67804 жыл бұрын

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  • @alenaj1579
    @alenaj15795 жыл бұрын

    Honestly man, you saved me. I tried to understand this topic, but never could visualise the difference between permutations and combinations, now I got the difference thanks you to. Thank you so much!

  • @giechrisrubia6795
    @giechrisrubia67952 жыл бұрын

    Hi! I've been watching your videos since 2015 and I really have to thank you for getting me through Highschool. Just a year more, and I'll be a freshman in college. Time flies so fast! I also have to get back here and thank you when I'll be a doctor someday. I don't know if you'll be able to read this, but I hope you get the best of happiness and luck in life.

  • @edmundappiah310
    @edmundappiah3102 жыл бұрын

    This guy is the word GENIUS😂😂😂He just taught me permutations and Combinations in just 2mins

  • @midnightstar3340
    @midnightstar33404 жыл бұрын

    was with you for chem last semester...now i'm with you for stats...GOAT

  • @emx_kel
    @emx_kel5 жыл бұрын

    This is the first explanation of permutations and combinations I've seen, that actually explains the difference between both!!! Thanks alot. this is a masterpiece

  • @ZikoTheGreatest

    @ZikoTheGreatest

    Жыл бұрын

    Same here

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    @keananpather69573 жыл бұрын

    Bro people say Discrete math is hard until it finally clicks... you finally made it click for me. Thank you so much brother!!

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    @autumnrenee1605 Жыл бұрын

    GREAT video!! Thank you!! Still a huge help 6 years later. Now THAT'S a legacy.

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    @HugoCornellier4 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

    helloooo omj your the one with pics hellooo

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    @PenandPaperScience

    2 жыл бұрын

    If you want some more practice, you might want to check out my latest upload, where I solve such exercises step-by-step: kzread.info/dash/bejne/pZ2HxZmPdcmtY8Y.html :)

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    @geminiflame_4 жыл бұрын

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    @alanagamble87762 жыл бұрын

    I haven't been in school in over 20 years! Had to help my high schooler w/ her homework, this video was SUPER simple and helped me greatly!! Thank you!!!

  • @tijaduno3417
    @tijaduno34175 жыл бұрын

    You are the real MVP. This just made my day having been struggling with the topic. U made it soo simple. I quickly had to share the video with my classmates.

  • @anevilsaint9557
    @anevilsaint95574 жыл бұрын

    TY BRO

  • @syedsaadqainhaider2456
    @syedsaadqainhaider24563 жыл бұрын

    watched SOOOOOOOOO many videos on this topic but youre the only legend that made sense

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    MR. Organic Chemistry Tutor, thank you for a powerful video/lecture on Permutations and Combinations in basic Probability Theory. Word problems makes up the majority of Probability Theory.

  • @gabrielegenota1480
    @gabrielegenota14805 жыл бұрын

    Exams tomorrow lol Ty

  • @safwanljd

    @safwanljd

    3 жыл бұрын

    same tbh even tho we're not referencing the same point in history

  • @dhanushranga1

    @dhanushranga1

    3 жыл бұрын

    same

  • @sazzadhossain1038

    @sazzadhossain1038

    3 жыл бұрын

    My exam isn't tomorrow but near future

  • @justpinguvibin2894

    @justpinguvibin2894

    3 жыл бұрын

    lol its literally tomorrow

  • @ellichen6748

    @ellichen6748

    3 жыл бұрын

    we’re just starting this unit. i watched this video to get a head start lol so i can better understand my lesson 😂

  • @mostafaelgayar
    @mostafaelgayar5 жыл бұрын

    I love how you explain these mathematical tricks in between, which are totally off-topic but so helpful. Thank you!

  • @arsemaesubalew1508
    @arsemaesubalew15082 жыл бұрын

    Not only did I understand the topic, but also I had seen new techniques. OMG thanks !!!!!! best teacher ever!

  • @Sweetie_0317
    @Sweetie_0317 Жыл бұрын

    This has to be the best math tutor i could find since i learned the topic faster than how i would learn from my own professor. Thanks math tutor

  • @taiwoogunleye4218
    @taiwoogunleye42186 жыл бұрын

    u are a really great teacher , u made it so easy to understand, thanks for this

  • @audreylenell2985
    @audreylenell29856 жыл бұрын

    Awesome Lesson!!! I was able to grasp the concept waaaayyy better from your way of explaining. Just great. Thank you Thank you Thank you!!!

  • @sabaalsayyed7059
    @sabaalsayyed70593 жыл бұрын

    his voice is so soothing

  • @ely1449
    @ely1449 Жыл бұрын

    I had to go back to the basics after struggling to understand the probability distribution, etc. in Statistics. This has helped me out so much!

  • @naemajamal
    @naemajamal5 жыл бұрын

    Thank you so much! Had an assignment and the lecturer is yet to teach us this one! 🙏

  • @cameroncornell7992
    @cameroncornell79924 жыл бұрын

    Studying for the GMAT and needed a massive refresher on permutations and combinations. This has been insanely helpful

  • @dirys24

    @dirys24

    7 ай бұрын

    so did you pass the gmat? if yes any tips?

  • @fisnikukeperaj7653
    @fisnikukeperaj7653 Жыл бұрын

    Fudge he taught it to me better than anyone could in the course of 2 weeks,he deserves the sub

  • @tianboqu7469
    @tianboqu7469 Жыл бұрын

    What a god , this is ten times better than reading text books, cheers mate!

  • @murjer1
    @murjer16 жыл бұрын

    You're an AWESOME teacher!! Thank you SO MUCH! I'm studying for the GRE and your videos are immensely helpful! Thanks again!!

  • @warsamesultan

    @warsamesultan

    6 жыл бұрын

    Where did he get 4 and 2

  • @mrgw9785

    @mrgw9785

    2 жыл бұрын

    i subed to u

  • @pcgamingmaster69
    @pcgamingmaster695 жыл бұрын

    Can we recruit this guy as professor on youtube?

  • @salexander3801

    @salexander3801

    4 жыл бұрын

    thatd be dope lol

  • @itskidkelly

    @itskidkelly

    3 жыл бұрын

    Well he is a professor on KZread lol

  • @SUPERNOVA0083

    @SUPERNOVA0083

    3 жыл бұрын

    he is already !

  • @ZahidAsghar
    @ZahidAsghar2 жыл бұрын

    Only comprehensive video on this topic on KZread, THANK YOU!

  • @R.Senate
    @R.Senate2 ай бұрын

    7 years ago and still helpful. Thanks a lot!❤

  • @atotesfa1507
    @atotesfa1507 Жыл бұрын

    You are the key to our problem keep it bro. God bless u

  • @elbre
    @elbre4 жыл бұрын

    Thissss guy is a fking genius, he helps me with differential equations, physics, discrete math, and now statistics 😭❤️

  • @chiviza
    @chiviza6 ай бұрын

    I remember my calculus professor proved to us why 0! = 1 and it was mind blowing. Loved that professor.

  • @Tropicaan_ggYT
    @Tropicaan_ggYT7 ай бұрын

    Finding this channel has been Huge for me. Thank you for being a patient tutor, super easy to follow along and understand👍

  • @alittleatinyatiny1821
    @alittleatinyatiny18213 жыл бұрын

    I just come to his videos to learn new things on my free time and listen to his soothing voice✨😄

  • @ValeriaGalindo
    @ValeriaGalindo4 жыл бұрын

    thank you so much for this video, you don´t know how much it helped me!

  • @rayyansiddiqui2487
    @rayyansiddiqui24874 ай бұрын

    Thank you so much for this. This summarizes these concepts so much better than reading through broken notes over multiple days. I have an exam on this tomorrow so this is a lifesaver, as permutation and combinations are my weakest units.

  • @SoThisIsMyCat

    @SoThisIsMyCat

    4 ай бұрын

    How did the exam go?

  • @fredartson
    @fredartson7 ай бұрын

    Thank you so much for taking your time teaching us stuff all for free. Whenever I look at my batchmates taking help from some KZread channels like Physics Wallah, I tell them about you. You teach literally every topic to us in a quick and easy way. And you don't even teach things in a nutshell, once you take up a topic, you take it upon yourself to explain the topic writing the depths of our it. Thank you so much.

  • @Lexyvil
    @Lexyvil2 жыл бұрын

    This helps! Thank you. I'm struggling in Probability at my university, and I thought the "P" in nPr meant Probability, not Permutation. That explains a lot.

  • @fraciscoaaron4582
    @fraciscoaaron4582 Жыл бұрын

    My test tommorrow

  • @HTrntrs
    @HTrntrs2 жыл бұрын

    I believe the video couldn't have been more better, I salute you with both of my hands.

  • @sherlylenin4922
    @sherlylenin492211 ай бұрын

    For the first time i am understanding this topic. Thank you Sir🙏

  • @miniconico6831
    @miniconico68313 жыл бұрын

    THANK YOU I JUST STUDIED A WHOLE MONTH OF CLASSES WITHIN TWO HOURS FOR MY EXAM 😭😭😭

  • @clarenskybenoit8755

    @clarenskybenoit8755

    3 жыл бұрын

    Y'all learn permutation and combination the whole month? Lol

  • @miniconico6831

    @miniconico6831

    3 жыл бұрын

    @@clarenskybenoit8755 bruh what

  • @jacklebon3322
    @jacklebon33225 жыл бұрын

    For anyone looking for an (in my opinion) an easier way to calculate the r-Permutations: P(n,r) For example: P(4,3)= 4x3x2 p(8,5)= 8x7x6x5x4 So the r is actually just the number of times you need to multiply down. So in the first example, we multiply down 3 times, where as in the second one we multiply 5 times. An easier way (in my opinion) to do the equation for r-Combination is: C(n,r) = P(n,r)/r! For Example: C(6,3) = P(6,3)/3! P(6,3) = 120 (6x5x4) 120 / 6 (3! = 3x2x1) C(6,3) = 120/6 = 20 A second example: C(7,2) = P(7,2)/2! P(7,2) = 42 (7x6) 42 / 2 (2! = 2x1) C(7,2) = 21 A third example: C(8,3) = P(8,3)/3! P(8,3) = 336 (8*7*6) 336/6 (3! = 3x2x1) C(8,3) = 56 Hope this helps.

  • @timothydelacruz3617

    @timothydelacruz3617

    4 жыл бұрын

    viShooTzo thank you!!

  • @unlucky7617

    @unlucky7617

    2 жыл бұрын

    OMG ur a lifesaver! thanks so much!!!

  • @harshbopalia
    @harshbopalia3 жыл бұрын

    Wow this video thought me more efficiently (the content is same) than the 4-5 hours my school teacher took to teach us over a week. Thank you for the video!

  • @mshaynerushton
    @mshaynerushton Жыл бұрын

    The only thing I would change about this channel is the volume. Like many of you, i'll probably owe my degree to this guy.

  • @psyphy7672
    @psyphy76725 жыл бұрын

    Your explanations are concise and easy to understand ✍🏻🌞 Thanks 💫

  • @omarrasheed3570
    @omarrasheed35703 жыл бұрын

    Very clear and understandable. Thank you very much 🙏🏿

  • @Giantlobster_
    @Giantlobster_2 ай бұрын

    I may be late to the party here but i seriously want to express my appreciation. It is insane to me how the exact same topic can seem either incredibly intimidating and hard or fairly simple depending on the explanation/person who explains. This is by far the best video on this topic. You sir saved my day.

  • @faustinoelia965
    @faustinoelia965Ай бұрын

    This is the best channel for learning maths