Permutations, Combinations & Probability (14 Word Problems)

Learn how to work with permutations, combinations and probability in the 14 word problems we go through in this video by Mario's Math Tutoring. We discuss factorials and how to simplify factorial expressions as well as the fundamental counting principle. We also discuss the formulas for nPr and nCr as they relate to permutations and combinations. We go through different ways to approach these problems.
Related Videos to Help You Succeed!:
Here is an in-depth video going over Permutations, Combinations, Factorials and Probability:
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Пікірлер: 506

  • @user-yj3ur6zg9s
    @user-yj3ur6zg9s3 жыл бұрын

    The hero we need, but the hero we don't deserve....THANKS A TON!!!!!!!!!!!!! YOU ARE A LEGEND, AN ANGEL FROM THE SKY

  • @cademiller1121
    @cademiller1121Ай бұрын

    not me prepping for quant interviews with this video lmfao. ur a life saver bro thank you

  • @jazhan3315
    @jazhan33152 жыл бұрын

    Thank you so much for taking the time to make these videos! You're an incredible teacher, wishing lots of positivity your way 🙏👏

  • @_Ahmed_15
    @_Ahmed_153 жыл бұрын

    I just want to thank you for your permutation and combinations and probablity videos. I've watched all of them and they're the best videos on KZread that finally helped me understand truly what they are how to approach and solve them instead of plug and playing the formulas. Thank you!

  • @maryzogzas7643
    @maryzogzas76433 жыл бұрын

    Thank you so much for taking the time to post these videos. Your teaching style is very effective - exactly what I was looking for.

  • @rigs464
    @rigs4644 жыл бұрын

    Hello Mr. Mario I appreciate you making your videos, as they have helped me learn during this pandemic, I hope you have a good day :)

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad my videos are helping you Rigs! Thanks for letting me know!

  • @olotanna9627

    @olotanna9627

    4 жыл бұрын

    Thank you for your videos.. Really helped me alot since the general lockdown all over the world.. Thanks again.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Fahad, this other video I did should help your understanding of the concept better: Permutations Combinations Factorials & Probability kzread.info/dash/bejne/hnaiss2EqLu2pZs.html

  • @youngmaredlyf

    @youngmaredlyf

    3 жыл бұрын

    @@MariosMathTutoring sir need help

  • @hydrolink5297
    @hydrolink52973 ай бұрын

    I'm truly thankful people like you exist!

  • @lordcezar4657
    @lordcezar46578 ай бұрын

    6:50 Number 4 is not complete. Unless the question is vague, I understand you mean grouping 20 players into teams of 5. This is actually very common in soccer training - forming, maybe 3 teams of 6 each out of 18. These teams would then train seperately. Without restrictions, The first set can be chosen in 20C5 ways (leaving 15), the next can then be chosen in 15C5 ways, the third set in 10C5 ways and the final set of five players form a team in themselves (that means there is no selection to be made, 1 way). Total selection is 20C5 * 15C5*10C5 = 20/(5!5!5!5!)

  • @MathTutorEdu
    @MathTutorEdu3 жыл бұрын

    Even though permutations and combinations can be really tough, but I find it interesting as this topic can be easily relate to the real life situation. Definitely one of the best explanation Mr. Mario 😇

  • @ben2808

    @ben2808

    2 жыл бұрын

    Jesus Christ loves you

  • @Devasur69

    @Devasur69

    Жыл бұрын

    Yep cuz i am an indian jee students and problems in the jee exam are much more complex

  • @MathNINJA-hf5mv

    @MathNINJA-hf5mv

    9 ай бұрын

    and you had to mention that they are tough - don't shape your perception as if you are doing something unprecedented instead keep it easy and fun for better learning - unnecessary stress from performance anxiety and perceptive load & hardship decreases productivity alot

  • @jadkhalil9263
    @jadkhalil9263 Жыл бұрын

    really great video to solidify your understanding of the fundamentals of probability. thanks, Mr. Mario !!

  • @marieli325
    @marieli3253 жыл бұрын

    Thank you! Youre helping me feel calmer and more confident about my mid term exams coming up! Thank you again!

  • @pipertripp
    @pipertripp2 жыл бұрын

    Very helpful! Thanks much for putting this together. It's nice to have problems to pause and work and then compare the answer, and more importantly, the thought process.

  • @lynguyen709
    @lynguyen7092 жыл бұрын

    Your explanation and each example are very helpful and easy to follow. Thank you so much for a meaningful lecture!

  • @kirac3916
    @kirac39164 жыл бұрын

    Thank you so much for doing this video! Combinations and permutations were two concepts I never felt taught how to apply. This video will help me a lot with standardized testing!

  • @MarkSmith-vo1vn

    @MarkSmith-vo1vn

    Жыл бұрын

    3:56

  • @hetori9918
    @hetori9918 Жыл бұрын

    this one is the hardest in basic math I just can not understand but memorize the ways to solve and I believe even the ones who made questions can not solve other new quizzes cause I never seen someone on YT can explain them clearly

  • @milakoi7832
    @milakoi7832 Жыл бұрын

    I am so glad that your videos exist!! Thank youuuuu

  • @christinezhu1357
    @christinezhu135711 ай бұрын

    This one actually teaches you how to do a variety of permutations and combination questions as related to probability! Nice! All the other ones I've seen don't do that. They do an easier question similar to the one at 14:17 and end it at that.

  • @deborahfranza2925
    @deborahfranza29253 жыл бұрын

    Awesome Awesome Awesome, exactly what I needed!

  • @nutritionbyelsa
    @nutritionbyelsa Жыл бұрын

    the 14 word problems is what brought me into this video! thank youuuuuuuuuuuuuuuuu!!!!!!!!!!!!!!!!!!!!

  • @pixeletral734
    @pixeletral7342 жыл бұрын

    thank you, Mr. Mario. the videos are great and the action of going through 14 unique questions really helps as you explain with much clarity.

  • @ben2808

    @ben2808

    2 жыл бұрын

    Jesus Christ loves you

  • @oskarreinfelds2033
    @oskarreinfelds20332 жыл бұрын

    Really appreciate the video Mr. Mario! Thank you

  • @francisc909
    @francisc9094 ай бұрын

    fantastic that you put all these formulas together in one video, thanks!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 ай бұрын

    Glad you liked it!

  • @drishtibaliga9168
    @drishtibaliga91683 жыл бұрын

    As a Humanities student who is afraid of maths and hasn't learnt it in the past 4 years, and all of a sudden has it now as a major paper, these videos have helped a lot! Your teaching is brilliant! Thanks a ton!! :D

  • @ben2808

    @ben2808

    2 жыл бұрын

    Jesus Christ loves you

  • @anastaciaballerina
    @anastaciaballerina2 жыл бұрын

    Thank you for all these questions and thoughtful explanations

  • @brunodeclercq646
    @brunodeclercq6462 жыл бұрын

    Thank you Mr. Mario! Loved the video, the geometry problem and the circle problem were challenging...

  • @GuppyPal
    @GuppyPal3 жыл бұрын

    This is a good intro or review of this stuff. Very helpful. Thank you!

  • @kaylajohnson241
    @kaylajohnson2413 ай бұрын

    Thank you! I am relatively good at math however, the way this is being taught to me by my professor is almost like rocket science. There is no room for asking questions because the professor will belittle you. Your videos help tremendously and allow me to feel a bit more confident!!

  • @MariosMathTutoring

    @MariosMathTutoring

    3 ай бұрын

    I’m glad to hear my videos are helping you.

  • @aphiwemkhwanazi2041
    @aphiwemkhwanazi20413 жыл бұрын

    you actually saved me from leaving the section blank in the exam to being confident i can ace it. thank you so much sir u the best.

  • @once822
    @once8223 жыл бұрын

    THANK U SO MUCHHHHHHH! REALLY APPRECIATE IT

  • @AnIdiot_or_simply_AI
    @AnIdiot_or_simply_AI2 жыл бұрын

    I didn't seem to get a grasp of combinations/permutations for a very long time until I watched your video!

  • @tanviapte6238
    @tanviapte6238 Жыл бұрын

    this explanation helped me so much. I am so thankful Mr. Mario !

  • @alexissangabriel8143
    @alexissangabriel81433 жыл бұрын

    Hi mr. Mario i just want to say my appreciation to you 😊 when my teacher say that we should watch a videos about or topic i always want to watch your videos because it always help me a lot 😊 thank you 😊 hope you read my message of appreciation ☺️

  • @EngSeifHabashy
    @EngSeifHabashy2 жыл бұрын

    I've been struggling with this You're a great teacher

  • @Daniel-ft9mp
    @Daniel-ft9mp3 жыл бұрын

    find this video while studying for GMAT, so so so helpful!

  • @Lisi_Mxo
    @Lisi_Mxo4 ай бұрын

    Can't thank you enough. I can finally get some traction in my Stats course.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 ай бұрын

    Great to hear!

  • @mohamudali3138
    @mohamudali31383 жыл бұрын

    This on of the most effective ways of teaching . 100 out of 100 greetings from Cyprus

  • @gh3stly627
    @gh3stly627 Жыл бұрын

    Thank you so much! I understand these types of problems better now!

  • @claireaubreyvergara2437
    @claireaubreyvergara24373 жыл бұрын

    Thank you so much! This is very helpful.

  • @surativeplaysgames6922
    @surativeplaysgames6922 Жыл бұрын

    cant thank you enough for this ive been struggling with this for a while and this video was the breakthrough for me :)

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Glad it helped!

  • @user-hc7qg2md5k
    @user-hc7qg2md5k4 ай бұрын

    Watching this now due to due to my maths test at 8am and I haven't felt more confident about this topic. Respect man. A go take am as ei dey atleast yawa no go gas for my side

  • @ElizabethNgwemeta-lz3dp

    @ElizabethNgwemeta-lz3dp

    4 ай бұрын

    😂 na we all ya boi all ya boi make man joh write dey test.

  • @rkok8338
    @rkok83382 жыл бұрын

    thank you so much for the video!! easy to understand and exactly what I face in exams!! God bless you!

  • @vasilanuralieva8130
    @vasilanuralieva81303 жыл бұрын

    Thank you so much for making this video. It helped me a lot

  • @officialmanymar7389
    @officialmanymar7389 Жыл бұрын

    Thank you Mr Mario...the lesson has been very helpful

  • @joikonkazama7996
    @joikonkazama79963 жыл бұрын

    Thank you so much for this lesson, I hope you continue making great content like this sir.

  • @ben2808

    @ben2808

    2 жыл бұрын

    Jesus Christ loves you

  • @persephone2610
    @persephone26102 жыл бұрын

    THANK YOU SO MUCH SIR! my classmates were so smart so the lessons were fast but im a slow learner so i never understood the lessons. YOURE A LIFESAVER SIR!!

  • @saiki1402
    @saiki14023 жыл бұрын

    Not all capes wear heroes.

  • @kylewc2286

    @kylewc2286

    3 ай бұрын

    u have it inverse lmao😂

  • @felicitaefidi2885

    @felicitaefidi2885

    Ай бұрын

    It's the other way around dude 😕

  • @israelwerku191

    @israelwerku191

    17 күн бұрын

    He is joking

  • @stephen8374
    @stephen8374 Жыл бұрын

    Thank you very much for this, it's been very helpful!

  • @yashraj8028
    @yashraj80282 жыл бұрын

    So calming 😇☺. Your teaching is just so good and soothing.

  • @user-ok9lu2hg2m
    @user-ok9lu2hg2m8 ай бұрын

    Cheers for this descriptive lesson, I learnt SOOO much!!!!

  • @MariosMathTutoring

    @MariosMathTutoring

    8 ай бұрын

    Glad it was helpful!

  • @havmsk59
    @havmsk592 жыл бұрын

    Very helpful video, thank you so much!

  • @ravenholbrook2353
    @ravenholbrook23533 жыл бұрын

    Thank you for your quality videos.

  • @christopherrobin8383
    @christopherrobin8383 Жыл бұрын

    Great video! I think question 4 can also act as a good example for replacement/non-replacement probability, as well as the order in which the specific cards are chosen.

  • @sahebnag9147
    @sahebnag91473 жыл бұрын

    A very clear and detail video. My concept is cleared. thank you.

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    @user-wx1pt1cc1n Жыл бұрын

    Seriously the best video!!! 😎👏

  • @acevirku2701
    @acevirku2701 Жыл бұрын

    Mr. Mario, thank you. this is the video I wanted to find. out of the hundreds I've gone through, this is the video I needed. Thank you

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Glad it was helpful!

  • @SS-pn7ss
    @SS-pn7ss Жыл бұрын

    Thank you so much for this very helpful video, it includes all the good ideas.

  • @alial-fatlawi5565
    @alial-fatlawi55653 жыл бұрын

    Great video!! 👍 really helpful during pandemic

  • @macrop8
    @macrop83 жыл бұрын

    This video is so awesome I can’t believe it

  • @sabinazus8371
    @sabinazus83713 жыл бұрын

    This is soooooo goood!!!! Thank you so much for this!!

  • @Asad_Ullah
    @Asad_Ullah2 жыл бұрын

    Made my day you teacher!!!!!

  • @olina_123
    @olina_1233 жыл бұрын

    This was very helpful!

  • @mh5102
    @mh51022 жыл бұрын

    thank you so much! this has helped me tremendously !!

  • @arimakousei2380
    @arimakousei2380 Жыл бұрын

    Thank you, sir. Nice lecture!

  • @twice.choutzuyu3312
    @twice.choutzuyu33123 жыл бұрын

    Amazing Channel! Gobless you sir

  • @ccs6group4
    @ccs6group4 Жыл бұрын

    thank you so much for this! helped me a lot

  • @evelyntromp789
    @evelyntromp7892 жыл бұрын

    Thank you so, so much!! This helped me a ton! :D

  • @assassinforce5637
    @assassinforce56372 жыл бұрын

    Helpful video. Very thorough

  • @calebmcdaniels8535
    @calebmcdaniels8535 Жыл бұрын

    one of the best math videos ever made

  • @aishiaratrika
    @aishiaratrika3 жыл бұрын

    Thanks a lot for your amazing content.

  • @mikal-_-7944
    @mikal-_-79443 жыл бұрын

    thank you so much i found this super helpful

  • @kylehostetter13
    @kylehostetter134 ай бұрын

    Thank you so much for the practice problems!! These are great and are really helping me combat probability!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 ай бұрын

    Great to hear!

  • @padmajachallagundla5486
    @padmajachallagundla54863 жыл бұрын

    As usual a very good explanation sir.I really admire you 😊😊

  • @user-ld2bh8ed7x
    @user-ld2bh8ed7x5 ай бұрын

    Nice explanation. You have made me understand this topic better

  • @caesarshi9114
    @caesarshi91142 жыл бұрын

    I found the video which I really needed, Thanks u!

  • @AvinashKumar-bd9qt
    @AvinashKumar-bd9qt8 ай бұрын

    Mr mario was watching your videos yesterday and just to let you know youre better than my private tutor. ive grapsed the concept a bit but im still struggling. hope you can help me more

  • @arnel032478
    @arnel0324783 жыл бұрын

    Thank you to your video tutorial. It is very helpful

  • @lizzy2991
    @lizzy299110 ай бұрын

    Excellent video, thank you. The examples really helped clarify the different formulas and the practice was useful.

  • @MariosMathTutoring

    @MariosMathTutoring

    10 ай бұрын

    Glad it was helpful!

  • @bigbutts5
    @bigbutts510 ай бұрын

    Yo just totally saved my life!!!

  • @megemeep
    @megemeep10 ай бұрын

    Thank you so much sir! I love your teaching style, it made everything really clear and easy to understand.Please keep doing what you're doing!

  • @MariosMathTutoring

    @MariosMathTutoring

    10 ай бұрын

    Thank you, I will

  • @martinelly254
    @martinelly2543 жыл бұрын

    hi....appreciated so much helped me understand it more

  • @diocresshabimana6646
    @diocresshabimana66463 жыл бұрын

    your videos mainly are helpful for teachers and students.

  • @omagbs2713
    @omagbs2713Ай бұрын

    Oh man. You make it easy! Thank you

  • @MariosMathTutoring

    @MariosMathTutoring

    Ай бұрын

    Happy to help!

  • @Isaaaabel25
    @Isaaaabel253 жыл бұрын

    Watching this before my stats & probability tutor interview..i need to demonstrate how I would solve problems. Thank you! this section was a little confusing but the way you explain it helps so much.

  • @annacernakova7383
    @annacernakova7383 Жыл бұрын

    Great video! I’m very grateful it got recommended.

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Glad you liked it!

  • @lyf2437
    @lyf24374 жыл бұрын

    Thank you so much!!!

  • @noviaantony6677
    @noviaantony66772 жыл бұрын

    thank you so much for this!!

  • @tshering2003
    @tshering20034 жыл бұрын

    Thank you, really great job

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Kalsang!

  • @violettiourestinpeacetechn4742
    @violettiourestinpeacetechn47423 жыл бұрын

    Amazing Mr. Mario. Before watching this, all of the questions I tried to solve were all wrong and failed. Right after I watched this, I received one correct so far :D Thank you for making this video; I hope you and your family are safe during quarantine. Have a good day!

  • @ben2808

    @ben2808

    2 жыл бұрын

    Jesus Christ loves you

  • @enashameed471
    @enashameed4713 жыл бұрын

    Thanks جزاك الله خيرا ❤

  • @EnzoBenzo-kl
    @EnzoBenzo-kl Жыл бұрын

    Mr. Mario you're so super!!!

  • @BlitzHitz
    @BlitzHitzАй бұрын

    My score on my final exam in Discrete Mathematics was 100, and this video supplemented my preparation. Thank you again.

  • @MariosMathTutoring

    @MariosMathTutoring

    Ай бұрын

    Congratulations!

  • @zakwaannn
    @zakwaannn Жыл бұрын

    Thank you so much for this video, I find your video is the easiest way to understand because a lot of example is given :) Keep up the good work! I like the way you teach!

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Thanks, will do!

  • @sayori4856
    @sayori48562 жыл бұрын

    Thank you, this is helpful with my olympiad

  • @jules4349
    @jules43495 ай бұрын

    You opened my eyes, thank you sir!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 ай бұрын

    Glad to hear it!

  • @itzuey
    @itzuey Жыл бұрын

    Thank you. This will help me alot since I have exam about this topic in 2 days.

  • @particleonazock2246
    @particleonazock22463 жыл бұрын

    Thank you Mario

  • @RunBar-ir6gd
    @RunBar-ir6gd2 ай бұрын

    u da real goat. thanks!

  • @lailaamin6548
    @lailaamin65482 жыл бұрын

    Excellent!

  • @Lalib-jd9qh
    @Lalib-jd9qh Жыл бұрын

    This was a big help

  • @abdulwahididris6543
    @abdulwahididris6543 Жыл бұрын

    Thanks sir , indeed you're good teacher 💪.