Statistics Lecture 4.7: Fundamental Counting Rule, Permutations and Combinations

/ professorleonard
Statistics Lecture 4.7: Fundamental Counting Rule, Permutations and Combinations

Пікірлер: 178

  • @Peter_1986
    @Peter_19862 жыл бұрын

    The funny thing about Professor Leonard's lectures is that they don't actually feel like typical lectures; they feel almost like a television series, which you watch with a lot of joy and look forward to the next "episode".

  • @eliftas3344

    @eliftas3344

    Жыл бұрын

    Very well said!! ^^

  • @Dickylong55966

    @Dickylong55966

    4 ай бұрын

    indeed

  • @saraaaa747

    @saraaaa747

    2 ай бұрын

    this!

  • @saraaaa747
    @saraaaa7472 ай бұрын

    i'm sorry prof i'm gatekeeping you from everyone, you're too good to be recommended to anyone

  • @D_bugit

    @D_bugit

    Ай бұрын

    same here😂😂😂😂😂😂

  • @birdog23
    @birdog237 жыл бұрын

    Your students don't know how lucky they are!

  • @pearlylissanu
    @pearlylissanu8 жыл бұрын

    Rules 3:15 - 5:35 Fundamental Counting Rule for Combinations (with independent events) 45:02 Rules for Permutations 1:32:03 Rules for Combinations

  • @wolfgangi

    @wolfgangi

    8 жыл бұрын

    +pearlylissanu thank you for the timestamps !!

  • @bohoberry0

    @bohoberry0

    8 жыл бұрын

    very helpful thank you!

  • @hitman9645

    @hitman9645

    7 жыл бұрын

    thank you so much

  • @jillyburt

    @jillyburt

    5 жыл бұрын

    thanks.

  • @courtneyyoung6721

    @courtneyyoung6721

    2 жыл бұрын

    This is so helpful for an online college course in statistics

  • @Al-Ahdal
    @Al-Ahdal7 жыл бұрын

    Best teacher for Statistics on the planet. The way he teaches statistics is awesome. I have found lots of teachers who don't possess the practical aspect of statistics and that's why masses found statistics is boring, but Professor Leonard teaching style is really awesome.

  • @judecarvalho5859
    @judecarvalho58593 жыл бұрын

    Dear Sir i myself is a Maths teacher and the way you have explained the difference Permutation & Combination is so awesome. Specially the way you brought Permutation shifting to combination clears the students doubts. "i will be using these examples for my students for easy understanding. worth the 1 1/2 hrs of the time to learn new ways of helping students understand better.

  • @patrickmuvunyi55
    @patrickmuvunyi55 Жыл бұрын

    Woooow!!! Thank you so very much, Professor! 2011, really?????? Genius people have been there! Thanks for putting this on KZread for free!!!!!

  • @toomsloom2817
    @toomsloom28174 жыл бұрын

    Please don’t stop with the videos prof L. They are really making a difference in so many students lives and thank you 🙏 so so much God bless you

  • @pearlylissanu
    @pearlylissanu8 жыл бұрын

    Calculator 32:32 Factorials on Calculators =x! 53:05 How to calculate Permutations on Calculator =nPr 1:34:56 How to calculate Combinations on Calculator =nCr

  • @wornpagesandendlesscoffey
    @wornpagesandendlesscoffey8 жыл бұрын

    You are seriously saving my life. I don't do math. I have a B.S., 2 AA's, and working on a M.S. and I cannot understand math....you have finally made it make sense. THANK YOU THANK YOU THANK YOU!!!!!!

  • @rvalenta4

    @rvalenta4

    8 жыл бұрын

    Mr. Leonard is slowly but surely becoming an international hero :-D

  • @ngawangtashi4736
    @ngawangtashi47365 жыл бұрын

    watching this 2019 still the best vid i could find. thanks alot.

  • @josephdelise3398

    @josephdelise3398

    2 жыл бұрын

    @ET Stalker PPP}ppppppp 😭😭

  • @kushagrajaiswal2178
    @kushagrajaiswal21787 жыл бұрын

    Definitely, one of the best teachers on you-tube. You helped me a lot sir. Thank you !!!!

  • @hannah840353
    @hannah8403537 жыл бұрын

    I thought statistics online was going to be really scary but you make it SO easy! Thank you!! I am beyond grateful!

  • @ernestoamezcua7669
    @ernestoamezcua7669 Жыл бұрын

    after many years after getting my degree thanks to your explanations, I had to go back here and refresh my memory on counting. I know I can count on you professor leonard!

  • @Rachthepisces
    @Rachthepisces9 жыл бұрын

    seriously wish you were my teacher, I didn't understand my professors note the whole course and made 60-66 on the tests... after watching you and taking notes and studying your notes I made a 95 on my final.... and my professor had had looks like you decided to study in an e-mail, no he just sucks as a teacher and I learned from Professor Leonard is what I wanted to say.... but that wouldn't be appropriate, however I am complaining to my college because I didn't pay for a teacher that couldn't teach and make us feel stupid when we ask questions and then not explain.

  • @FoUr-ko1rs

    @FoUr-ko1rs

    7 жыл бұрын

    You go girl

  • @fantadia1246

    @fantadia1246

    5 жыл бұрын

    I really appreciate that you sharing votre vidéos. Thank you so much. You are contributing so much !

  • @abrarahmed8325

    @abrarahmed8325

    4 жыл бұрын

    Is every stat teacher is like that lol?

  • @gardenmenuuu

    @gardenmenuuu

    3 жыл бұрын

    what have you become now

  • @Rachthepisces

    @Rachthepisces

    3 жыл бұрын

    @@gardenmenuuu RN,BSN

  • @spiritchaser411
    @spiritchaser4113 жыл бұрын

    I've already learned more in the first 4 minutes than 3 days of online study. Thank you!

  • @jonathansabido5430
    @jonathansabido54308 жыл бұрын

    I hope that you continue to make these types of videos. Rare to find a teacher like you.

  • @jhonen32629
    @jhonen326296 жыл бұрын

    My teacher went over this so quickly without a care in the world and it made it difficult for me to understand what was going on. This video, just like all of your other videos, helped a ton! Thank you!

  • @B1narily
    @B1narily Жыл бұрын

    LOVED this lesson - great job Professor Leonard!

  • @caribbeankpoplover
    @caribbeankpoplover6 жыл бұрын

    Omg please be my Professor! Can't believe I'm just finding these series when you helped me to ace Calculus II last semester

  • @noreenelizabeth6617
    @noreenelizabeth66176 жыл бұрын

    My statistics course is pretty much death by power point and you have brought me back. Thank you!

  • @Out1sSaidAsOat
    @Out1sSaidAsOat3 жыл бұрын

    Starting my actuarial courses now in uni and STILL getting schooled by professor leonard, amazing stuff

  • @jesus4life271
    @jesus4life2719 жыл бұрын

    You are awesome you make this sooo simple I've been stuck on permutations and combinations for the longest time thank you sooo much God bless you!

  • @radwasobhy1648
    @radwasobhy16483 жыл бұрын

    watching this 2021 and literally, this one is the best video everrrr, thank you for saving my grades!

  • @pearlylissanu
    @pearlylissanu8 жыл бұрын

    Formulas 48:55 Full Formula for Permutations (with distinct /nonidentical items) 1:11:07 Formula for Permutations (with identical/nondistinct items) 1:33:03 Formula for Combinations

  • @anigrig1719
    @anigrig17192 жыл бұрын

    Here in 2021, after breaking my eyes and head on the materials given by my professor. Why is it that when I watch Professor Leonard’s videos I understand everything, then I look on the materials given by my professor I understand nothing. Thank you professor Leonard for making me believe that I am not stupid. Because this is how I felt always with my math related professors and teschers since school.

  • @noushindowlatshahi6221
    @noushindowlatshahi62219 жыл бұрын

    Dear Professor Leonard, what a dear you are! Huge help! One of the best teachers I have seen! Some university professors can take a page from your book! You actually love what you do.

  • @sunayana777
    @sunayana7778 жыл бұрын

    you r helping people around the globe. best professor ever... i wish i could meet u....

  • @4bearswalking535
    @4bearswalking5357 жыл бұрын

    I tried several different videos but couldn't quite understand this math until I found your video. Your explaination of how to work Permutations and Combinations was crystal clear! Thank you!! I now understand how to work those problems and am feeling much better about my upcoming, Fall 2017 math class at college.

  • @whitetigerpwns
    @whitetigerpwns7 жыл бұрын

    I have a test on this stuff tomorrow and I sincerely wish I had found your videos sooner! My professor is a good teacher, but we don't have time to go through everything thoroughly! You have helped me better understand most of the material! So thank you so very much sir!

  • @ngonidzashekimbini7177

    @ngonidzashekimbini7177

    4 жыл бұрын

    Hope you did well

  • @MrCuteguylol
    @MrCuteguylol3 жыл бұрын

    0:00 counting and hence fundamental rule of counting 10:46 making sense of the factorial function 35:21 projector moves up (very satisfying) 35:41 intro to permutation 56:40 the general 1:06:29 example to illustrate NON distinct objects 1:28:16 When the order doesn't matter 1:06:29 combination

  • @Sk8erMorris
    @Sk8erMorris4 жыл бұрын

    I appreciate all my professors; I do pass by to review the concepts or see different examples for better practice from my part and I appreciate these videos as well

  • @adaezeonwuka1452
    @adaezeonwuka14528 жыл бұрын

    Thank you so much!! I feel so confident now.

  • @matthewkazen2584
    @matthewkazen25848 жыл бұрын

    Was so happy to find that he had this as well as began uploading Calc 3 lectures. Wish all professors taught in this manner

  • @nikolaizaicev9297
    @nikolaizaicev92974 жыл бұрын

    Thank you, I finally understood that stuff on a conceptual level. I wasted about 2 days, trying to learn that from my universitie's script and books, but got nothing aside of a frustration. I wish, we had a Prof. like you at my university.

  • @pearlylissanu
    @pearlylissanu8 жыл бұрын

    Factorials! 16:18 - 23:55 Factorial for Permutations 32:32 Factorials on Calculators

  • @Charli3Brwn
    @Charli3Brwn7 жыл бұрын

    THANK YOU SOO MUCH FOR POSTING !!! in my online Statistics class!

  • @eti-abasiumobong2500
    @eti-abasiumobong25006 жыл бұрын

    MAHN, PLs make math lectures for like every topic in math. Best guy ever.

  • @nishchayjain2343
    @nishchayjain23435 жыл бұрын

    just really can't thank you enough professor ! you're videos are so very helpful 💜

  • @sarahmunga
    @sarahmunga5 жыл бұрын

    Excellent delivery. Thank you Prof. Leonard.

  • @taekwondotime
    @taekwondotime7 жыл бұрын

    I think it would help greatly at 15:00 - 20:00 to draw the distinction between the security code example (where the numbers 0-9 can be reused for each digit) versus the fruit example where you only have one of each fruit total and they can't be reused. You can sense that the students are expecting to be able to place an apple in every one of the five slots. They're seeing fruits but thinking security codes. I also think it would help if statistics teachers brought props to the class. Bring an actual deck of cards to class. Bring a coin. Bring a 6-sided die. To see it being demonstrated right in front of the class is a powerful learning tool. I bet half the students in the class have never played cards before (a very real problem when describing probabilities using examples involving playing cards). The odds that every student knows what a Jack is or knows the four suits in Poker is quite low. I'd bring a deck of cards to class, open it up, and display it for everyone to see. That way you remove all doubt. Love the videos, keep up the great work! FYI: I took statistics in college and I'm watching these videos for review. This one particular area of statistics is arguably the most confusing area in all of mathematics.

  • @paulluhan
    @paulluhan7 жыл бұрын

    Where can I watch Lecture 4.8? Because I want to learn more about combinations

  • @doenglapitus4986
    @doenglapitus49864 жыл бұрын

    Pure math comedy right here. 5!

  • @mathbytv4858
    @mathbytv48586 жыл бұрын

    Your teaching on Permutations and Combinations was spot on! Thank you very much!!

  • @madalixful
    @madalixful3 жыл бұрын

    OMG it is the first time that i really learn this...WOOW omg thanks a lot 4 sharing this masterpiece class with us, love you Professor Leonard

  • @raquelguzman6048
    @raquelguzman60485 жыл бұрын

    Awesome teacher!! Wish I had a teacher like you. U can tell u love ur job. I completely understand my hw now.

  • @tomriddle4038
    @tomriddle40385 жыл бұрын

    Thank you sir. This course of statistics is amazing!

  • @ahmedalanbagi1416
    @ahmedalanbagi1416 Жыл бұрын

    it took Leonardo 14 hours to get what my instructor did in 35 minutes. thank you sir for making math easy

  • @drizzzy1988
    @drizzzy19888 жыл бұрын

    Another amazing lecture!

  • @ihabalbadr1910
    @ihabalbadr19104 жыл бұрын

    we still in 2020 and you are the best teacher i have ever seen, thank you alot.

  • @johntindell9591
    @johntindell95914 жыл бұрын

    Thank you so much

  • @KWPariah
    @KWPariah7 жыл бұрын

    Professor Leonard, you are amazing at explaining this stuff!! My only wish is that I'd found these videos two months ago rather than two days before my exam :/

  • @shadburnett9211
    @shadburnett92118 жыл бұрын

    you seriously helped me to understand this course. thanks alot

  • @crazyakagino
    @crazyakagino8 жыл бұрын

    Thank you so much!!!!!!!!!!!!!!!! Professor Leonard. I am a biostatistics students and you're saving my life!

  • @davidbanahene307

    @davidbanahene307

    5 жыл бұрын

    Francisco E Cartagena , thank God u are saved # 😁 😂

  • @musicfunandmore8980
    @musicfunandmore89806 жыл бұрын

    Thanks for getting me through Statistics!!!!!

  • @PatrickMurray1966
    @PatrickMurray19667 жыл бұрын

    You're a lifesaver. I wish you taught here in Fresno.

  • @dogwithwigwamz.7320
    @dogwithwigwamz.73202 жыл бұрын

    When - at which instance in mathematical structures - are unlikelyhoods regarded as trivial ? And who dicides ? A coin that is tossed may come to rest on its edge, and a die on one of its vertices. Most unlikely, but which mathematician may say it cannot ? Granted a point has no dimension and a vertex being a point.

  • @rambodude19
    @rambodude199 жыл бұрын

    Thanks man! So much help!

  • @VananhNguyen-wk2im
    @VananhNguyen-wk2im7 жыл бұрын

    Thank you so much. You are the best!!!!

  • @ianhnizdo4787
    @ianhnizdo47874 жыл бұрын

    The second you started doing fruits I though of an old Monty Python skit called "How to defend yourself against a man armed with a fruit!"

  • @haneenmomani2543
    @haneenmomani25438 жыл бұрын

    That was extremely useful! Thank you! :)

  • @VectorSpace33
    @VectorSpace33Ай бұрын

    For faster access to Factorial/combination/permutation on TI 84: Alpha (the green button) Window 9 (for factorial) 8 (for combination) 7 (for permutation)

  • @kholofelohlongwane9497
    @kholofelohlongwane94972 жыл бұрын

    you are always the best...one in the millions 🙏🙏

  • @heilaal-mogren5828
    @heilaal-mogren58286 жыл бұрын

    Hello professor, I really enjoyed your videos but I have a small suggestion that might help many people. Because lectures may contain several sub-topics and someone might need specific subtopic or specific thing they did not understand, it becomes hard to look for that specific subtopic in 1 or 2 hours long video or even deciding the right video because videos are divided by lessons not topics.. so I suggest putting something like hashtags in the description containing the sub-topics.. for example, I'm looking for explanation of cardinal numbers of set, but I don't know where to find this exactly in your videos because my textbook is different than the one you're using... in my textbook it's in the same lesson with permutation and combination.. I even couldn't find using search tool in your channel.. otherwise thanks a lot for your great videos and your channel is very excellent!

  • @icee562
    @icee5625 жыл бұрын

    Amazing lecture. Seriously.

  • @koolbee6446
    @koolbee64465 жыл бұрын

    you are the best teacher there is,there was ,and there will be..........................

  • @googlem7
    @googlem72 жыл бұрын

    I heard about this Teacher.. Impressive teaching method.

  • @faahimrafi8720
    @faahimrafi87203 жыл бұрын

    i have never seen someone who breakdown permutation formula in so simple way .

  • @kbget1214
    @kbget12146 жыл бұрын

    thank you and thank you sir ........wish you were my instructor. make everything piece of cake!

  • @ronaldjohnson4470
    @ronaldjohnson44709 жыл бұрын

    Great tutorial.

  • @rodot-khandari
    @rodot-khandari6 жыл бұрын

    Is it you Clark?

  • @hussamcheema
    @hussamcheema6 жыл бұрын

    Thank You So Much!! Love from Pakistan

  • @adarshnamdev5834
    @adarshnamdev58345 жыл бұрын

    Prof. Leonard could you also please add a video to calculate the probability using permutations and combinations as well...

  • @sudhapriyashrivastava6808
    @sudhapriyashrivastava68085 жыл бұрын

    Thanks professor.

  • @dee27ana
    @dee27ana6 жыл бұрын

    you are amazing! thank you for the video!!!!!!!!!!!!!

  • @tapologomabotho4366
    @tapologomabotho43663 жыл бұрын

    this man is amazing!

  • @zozomajed5383
    @zozomajed53835 жыл бұрын

    Thank you so much that is so helpful, i wish that you can be my statistics teacher👌, you are the best , thank you for being here in KZread 😂💜

  • @dougls2564
    @dougls25642 жыл бұрын

    Love the video. Will you pease tell me how many different combinations of exactly 3 heads and 3 tails any combination there are in flipping a coin 6 times. So my guess is 16 out of 64 combinations

  • @courtneyyoung6721
    @courtneyyoung67212 жыл бұрын

    Thank for recording statistics class

  • @arnaldoperez4188
    @arnaldoperez4188 Жыл бұрын

    6:07 The answer to that question is YES. Surprisingly that happened to me today, the same day I'm watching this video 😂

  • @anm9842
    @anm98426 жыл бұрын

    You are the best !

  • @karimkaan8700
    @karimkaan87006 жыл бұрын

    Seriously you are unique !

  • @sastidukandari1197
    @sastidukandari11976 жыл бұрын

    my all time favorite.............

  • @randytheram1
    @randytheram1 Жыл бұрын

    Well done!

  • @aliraza7538
    @aliraza75386 жыл бұрын

    Best teacher

  • @ronaldjones9713
    @ronaldjones97133 жыл бұрын

    Best math professor ever. Yes? No?

  • @aram5642
    @aram56422 жыл бұрын

    I have been helping others understand the basics of probability, counting, and I always need to start by pointing out the common meaning of the word 'combination' which is used interchangeably for both combinations and permutations. This often blurs the difference between the two. All the examples with pin codes or code padlocks are unfortunate, because the commonly used word "combination" implies the order of the digits does not matter (1234 should then work for 4321), while in these cases it does matter, so we should speak about permutations instead.

  • @rahulbaidya5685
    @rahulbaidya56856 жыл бұрын

    Please help me out with this. 27 marbles have to be distributed amongst 4 people such that each one of them can get any number of marbles(including 0 also). Number of ways of distribution?

  • @catalinaalvarez5919
    @catalinaalvarez59193 жыл бұрын

    thank yousir .God bless

  • @charanjayachandran6187
    @charanjayachandran61875 жыл бұрын

    Thanks sir

  • @Peter_1986
    @Peter_19863 жыл бұрын

    One way to show that 0! = 1 is to kind of "complete the pattern"; for example ----- 4! / 4 = 3! ----- 3! / 3 = 2! ----- 2! / 2 = 1! ----- 1! / 1 = 0!, which implies that 0! = 1, since the above pattern implies that n! / n = (n - 1)!, assuming that n ∈ ℕ, n ≠ 0.

  • @rajivsaraf5241
    @rajivsaraf52413 жыл бұрын

    best teacher

  • @rochannahenry4829
    @rochannahenry48298 жыл бұрын

    I love you prof, thanks to you I finally understand combinations and permutations

  • @crgIN07
    @crgIN075 жыл бұрын

    what text book are you using?

  • @MrRaminfar
    @MrRaminfar7 жыл бұрын

    hay prof can you please please do a class on intro to probability the one that you need calculus for please

  • @theinthanhlan3582
    @theinthanhlan35822 жыл бұрын

    sure!!

  • @yellowbones
    @yellowbones7 жыл бұрын

    Is there a 4.8 lecture? Where is it? :(

  • @rainerwahnsinn3262
    @rainerwahnsinn32626 жыл бұрын

    At 1:34:11 what whould be r in the case of the word example with "STATISTICS"?

  • @jimmyjakes1823

    @jimmyjakes1823

    Жыл бұрын

    He's not eliminating any choices like he did when he was picking counties, so there's no r value. If he wanted to eliminate some of the letters entirely, like getting rid of the letter A, then there'd be an r value. In the STATISTICS example he's just giving an example of how to eliminate non unique items were multiple letters are the same, because otherwise you end up with some outcomes that are duplicates of each other.

  • @Almighty_Mokoena
    @Almighty_Mokoena Жыл бұрын

    Good day, Mr Leonard May you please provide me with lecture 4.6 link

  • @ynat957
    @ynat9574 жыл бұрын

    why do you always capital letters sir? i am just wondering.thank you anyways