Permutations Combinations Factorials & Probability

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  • Опубліковано 12 січ 2025

КОМЕНТАРІ • 599

  • @MariosMathTutoring
    @MariosMathTutoring  5 років тому +83

    If you would like to see another video I did regarding permutations see: How to Use Permutations and Combinations ua-cam.com/video/NEGxh_D7yKU/v-deo.html

    • @igopophamirkhan5941
      @igopophamirkhan5941 5 років тому

      Hi mario... On CAT we have 3ways using combinations.. I wonder what formula i can use to get how many times letter C, A or T occur in that 3ways, i know each letter occurs twice, just want to know if u have formula for bigger combinations purposes like 12 by 8 combinations which will lead to 495 ways, but how will i know in that 495ways there is letter A. Using A-L 12 letter and group of 8 combination?. Thanks in advance.

    • @anilsharma-ev2my
      @anilsharma-ev2my 4 роки тому

      How permutation and combination are related in magic square of 1 to 9 added upto 15 in all directions

    • @anilsharma-ev2my
      @anilsharma-ev2my 4 роки тому

      What are total number of ways for writing the combination and permutation of magic square ??

    • @barrycolgan5671
      @barrycolgan5671 3 роки тому

      If I have a 14x12 board (168 spaces) with numbers from 1-6 (28 of each digit) and I roll 8 dice, what is the probability of rolling all ones?

    • @rachelvanderlely6324
      @rachelvanderlely6324 3 роки тому

      In the card game Blackjack, there are one or more players and a dealer.
      Initially, each player is dealt two cards and the dealer is dealt one card
      down and one facing up. As in bridge, the order of the hands, but not
      the order of the cards in the hands, matters. Starting with a single 52
      card deck, and three players, how many ways can the first two cards be
      dealt out? You can use the sage cell in the SageMath Note to do this
      calculation.

  • @JoshuaDHarvey
    @JoshuaDHarvey 5 років тому +80

    Mario, I spent the majority of my Sunday watching videos on this and I have to say the biggest difference your video made, was really emphasizing the elimination of the multiplicities. That's a really important part of understanding even lightly understanding how this formula works. The ABC in your other video also really helped to visualize what was really going on. Great work and thank you!

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому +8

      You’re welcome Joshua! Glad my videos helped you! Thanks for commenting and letting me know!

  • @elizabethterrazas4131
    @elizabethterrazas4131 4 роки тому +13

    I am studying for my content exam to become certified as a math teacher. I was using a study resource but could not understand this by reading it. I came across your videos and now I am searching for all your videos that would help me. This is so helpful! When I am trying to choose between perm or combo, I ask myself "does the order matter?" just like you do in your video. Thank you

  • @danielkelsosmith
    @danielkelsosmith 10 місяців тому +2

    You deserve my tuition. Feels like we’re using the same textbook as well because these are oddly similar to what I’ve been working through. Thank you Mario 🤝🏻

  • @rseesr7743
    @rseesr7743 4 роки тому +28

    The first time when i watch your channel was in grade 10, now i am going to my second year of uni, you vid are still helping me. you are the best math tutor on youtube. THanks :)

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +14

      Glad my videos have been helping you over the years! Thanks for letting me know and wishing you continued success with your studies!

  • @williamboucher
    @williamboucher 6 років тому +121

    Wow. You explained it so well! Thank you so much. Everything is now clearer.

  • @esraamansour3405
    @esraamansour3405 2 роки тому +5

    I just discovered your channel. I was searching for videos about permutations and combinations that can help me in the GRE test, really the explanations and the problems are solved in a clear way.

  • @yelu5314
    @yelu5314 6 років тому +33

    It's very nice of you to put all these situations together for comparison! Very helpful, thanks!

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому +4

      You’re welcome Ye Lu! Glad my video compilation was helpful for you!

  • @cb27743
    @cb27743 2 роки тому

    THIS VIDEO SAVED MY LIFE. FINALLY A BREAKDOWN OF DIFFERENT SCENERIOS!! INSTEAD OF NON SENSE QUESTIONS! THANK YOU

  • @mohammedk5223
    @mohammedk5223 5 років тому +4

    Thank you! I'm doing the GRE 10 years post- any high school math class - and this has been the best explanation of permutations and combinations [as well as probability!] etc.for me

  • @souljacem
    @souljacem 4 роки тому +4

    Thank you so much. I'm a German student and I just discovered that studying math in Englisch works way better for me. You're doing great and meaningful work. Keep it up!

  • @riyamarabo9320
    @riyamarabo9320 3 роки тому +1

    I spent my whole Saturday trying to conceptualize all these three topics combined and everything failed until this video. I truly appreciate the simplicity of your explanations and connecting the concepts together!

  • @bunkryanna
    @bunkryanna 5 років тому +4

    Very realistic video.
    Just like how I come late for class, the lesson started before the video started.

  • @goldribbons8738
    @goldribbons8738 4 роки тому +2

    THANK YOU SO MUCH FOR THIS VIDEO! I have a maths exam next week and I've been through so many videos and none explained it as well and as clearly as you have. I'm glad I found your channel. I will be binge watching a lot of your videos for the next 2 years of school

  • @johntilelli
    @johntilelli 2 місяці тому

    Stumbled on this video mid way through my grad level stats course and everything finally started to make sense. Thank you. Not sure how I missed such a fundamental concept.

    • @MariosMathTutoring
      @MariosMathTutoring  2 місяці тому

      Glad the video helped you understand these fundamental concepts!

  • @particleonazock2246
    @particleonazock2246 4 роки тому +5

    Really well explained, especially the word problems, I love how you go through them with a line of reasoning. This made it so easy to understand, as opposed to the mindless mathematical jargon I see frequently in textbooks. Thanks!

  • @crackersnucker
    @crackersnucker Рік тому

    This is so clear cut, I understand more but it's not as deep into the theory/algorithm as I want tho, one of the best explanation on youtube that I've found about this topic.

  • @dilipkn7339
    @dilipkn7339 4 роки тому +4

    I didn't learn these tropics when I was in school but now I cannot solve most of the competitive programming questions without these topics.

  • @nackyding
    @nackyding 4 роки тому +3

    This is by far the best tutorial on UA-cam on permutations and combinations. Richard Feynman would be proud of you!

  • @darrylros681
    @darrylros681 4 роки тому +6

    Im here watching 30 min before the exam and you put that all into my head good job. Thankss

  • @streetbeats1672
    @streetbeats1672 3 роки тому

    Perfect explanation... it can't get better. I was running away from this subject through school and now I am a psychology student and still have to learn it in stats. ...yet you are the best one who put it all together in a very simple and clear way....Thank you a lot !!

  • @keshavmadhavan51
    @keshavmadhavan51 2 роки тому

    This channel is probably one of the great discoveries of mine on YT

  • @franciscoaguirre9169
    @franciscoaguirre9169 5 років тому +1

    Finally! Where you been all my life? I'm no expert just yet, but I'm on my way thanks to you.

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому

      Glad you liked my video Francisco! Glad my videos are helping you!

  • @raycaruso8026
    @raycaruso8026 4 місяці тому

    I'm middle-aged and never studied this topic before. However, after watching your videos I now feel confident about including probability calculations in the new word game I have devised.

  • @tasninnewaz6790
    @tasninnewaz6790 6 років тому +13

    Sir, Love from bangladesh. Your teaching is excellent and I have seen your many tutorial .

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому +5

      Great! Glad you are benefitting from my videos and channel!

  • @audreykim73
    @audreykim73 5 років тому +1

    im taking an online math class this summer and they did not explain factorials very well, but you made it completely clear. thanks for the help!

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому

      You’re welcome Audrey Kim! Glad my video helped you and good luck with your summer class!

  • @sanamadan6266
    @sanamadan6266 11 місяців тому

    I am preparing for a math exam and I came across your videos. They are so useful and clearly outline the key concepts to understand the the logic. Thank you so much!

  • @Ab3sb1l1c0
    @Ab3sb1l1c0 5 років тому +8

    Let's get it son, you're the best, this really helped me. Thank you, if it wasn't for you, I would have failed in my course. Big up bro

  • @Zandorfun
    @Zandorfun 4 роки тому +2

    Thanks for preparing me for a math quiz during quarantine! This really helped clear things up a lot.

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +2

      You’re welcome! Glad my video helped you prepare for your quiz! Report back if you want and let us all know how you did.

  • @brandonpanuco8546
    @brandonpanuco8546 Рік тому

    Thank you, I am having a hard time with my discrete math course and you are answering all the necessary questions that we students have when dealing with word problems.

  • @thedeathofbirth0763
    @thedeathofbirth0763 4 роки тому

    Well,I now know what it means that teaching is an art! If teaching is an art, then you are the maestro. Thank you Mario!

  • @theperfectshot25
    @theperfectshot25 4 роки тому

    From India
    Finest Video I saw On Internet The internet today
    Thankyou !!

  • @biancaortiz8641
    @biancaortiz8641 4 роки тому

    Studying for the GRE and you saved my you-know-what. Thanks for breaking everything down for a linguist! :) It's clear as mud!

  • @dushantpuri4476
    @dushantpuri4476 4 роки тому

    I was taking an online math 2 class and the permutations and combination confused me but this video eliminated the confusion. Thank you Mario!

  • @rchukkapalli1
    @rchukkapalli1 4 роки тому

    Underrated channel. Just found it and subscribed to it. Please keep educating us.

  • @behailuasefa9257
    @behailuasefa9257 3 роки тому

    who ever you are!! you have changed the way I look to probablity, THANKS...

  • @liamaranda-michel9106
    @liamaranda-michel9106 4 роки тому +1

    I know this video is old, but this has helped me so much! I have to take the SCAT soon, and these concepts are always something I struggled with. Your simple approach saved me hours, and I understand the concepts!! Thank you!!

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому

      You’re welcome Liam! Glad my video helped you! Good luck on your test!

  • @avanishkamak9498
    @avanishkamak9498 4 роки тому +1

    This video really helped!! this is a subject i could never understand but now i do thanks to you breaking it down in slow and simple terms :)

  • @rajastylez
    @rajastylez 3 роки тому

    No bs just straight teaching. Good stuff!

  • @douglasspotts9665
    @douglasspotts9665 2 роки тому

    What a wonderful service you are providing. Thank you, thank you.

  • @robertkopf7861
    @robertkopf7861 4 роки тому +1

    What a wonderful way to explain permutations and combinations! Thank you so very much!!!

  • @nabeelahmed2502
    @nabeelahmed2502 3 роки тому

    Fantastic. The way you explain is awesome. i saw a number of videos but u satisfied me. Thanks.

  • @TheCaspian16
    @TheCaspian16 5 років тому +5

    Thank you, this was really comprehensive and well-explained.

  • @sneha66a49
    @sneha66a49 3 роки тому

    Before watching this video I was struggling with Permutations so much. Your video is probably the most helpful regarding Probability. Thanks for taking the time :)

  • @gen2151
    @gen2151 3 роки тому +2

    Me: Looks at discord for a second
    Him: A bunch of formulas on the whiteboard

  • @lynnamin788
    @lynnamin788 2 роки тому

    You really simplified it in the easiest way possible.

  • @lemuelchao4120
    @lemuelchao4120 5 років тому +1

    This is the best explanation I have had regarding these topics! thank you for providing the video.

  • @geraldmorales2091
    @geraldmorales2091 4 роки тому

    Thank you very much! I'm telling you, you're a hidden gem for students who are having a hard time like me in mathematics.

  • @annshitote4665
    @annshitote4665 2 роки тому

    Thank you so much am now at a better position to attempt any permutation and combination question

  • @mohinicoder
    @mohinicoder 3 роки тому

    I always had fear of probability and permutations since my school days though I was good in Mathematics. But this explanation cleared my concept.. Now it would be helpful for me while programming. Thank you. +1 subscriber

  • @mrmvpvip
    @mrmvpvip 4 роки тому

    You're a such a great teacher, Mario! I'm grateful to have found your channel. Thanks so much!

  • @arahsala6602
    @arahsala6602 3 роки тому

    Thank youso much for making great contents! I've been reviewing these for years but you explained it well like it can be learnt within a minute

  • @leylatairova3003
    @leylatairova3003 Рік тому

    Thank you for the great explanation. I am a teacher and I really enjoyed watching this video

  • @vedantgoswami4200
    @vedantgoswami4200 4 роки тому

    u r amazing, plz come to india not only u will be rolling in wealth but indians will LOVE U AND THE SUBTLE WAY U CAN TEACH

  • @tradak14
    @tradak14 Рік тому

    i also like the fact that you didn't perambulate or beat around the bush.
    nice job going straight to the point

  • @RaeTheActuary
    @RaeTheActuary Рік тому

    Hi Mario. Thanks for helping. Am currently doing Actuarial science and we are doing probability. Thanks for helping

  • @basilhawamdeh593
    @basilhawamdeh593 4 роки тому

    thank you so much. it's been a while for me trying to understand this lesson, but now the jug is broken and it's very simple for me. thank you so much and keep going, wish you the best.

  • @Jsishs
    @Jsishs 6 років тому +2

    Your classes are so helpful for me and you are literal talented.

  • @evanmukerjee6066
    @evanmukerjee6066 3 роки тому

    I GOT A HUNDRED ON MY MATH EXAM BECAUSE OF THIS VIDEO. Thank you sooooo much for exposing this lesson. You made it so clear and easy for me to learn thank you so much !!

  • @kennethokai601
    @kennethokai601 5 років тому +1

    Really like the way he teaches. Very understanding

  • @ninakay1
    @ninakay1 2 роки тому +2

    thank you mario!

  • @grachadash3860
    @grachadash3860 6 років тому +1

    Thanks for helping me before the quiz! Now I understand everything!

  • @graceakpoyoma
    @graceakpoyoma Рік тому

    you really broke it down to my understanding

  • @the_singhrv
    @the_singhrv 4 роки тому

    i am from india , i like your teaching methods....

  • @ciaramist16
    @ciaramist16 4 роки тому

    I'm taking an online stats course and we're on this topic. I read the chapter. Took notes. Looked at power points and notes. Took notes. Watched the videos from the publisher of the book. Took notes. Still didnt understand. It was like a foreign language to me. I wish I had more time to view your stuff, my test is in 2 hours... glad I found you nonetheless

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому

      Good luck on your test! Report back if you want and let us all know how it went.

  • @nwidagpromise4765
    @nwidagpromise4765 3 роки тому

    Thanks alot sir....It was so interesting and well simplified...I had so much benefit from your tutorial. Indeed you're a great TUTOR. GOD bless you.

  • @JosephJere-sw2sw
    @JosephJere-sw2sw 8 місяців тому

    Am indeed on the moon with the way you teach sir

  • @diggleda2952
    @diggleda2952 5 років тому

    This video couldn’t have been any better. Thank you!

  • @Mwanamisimohammed-z2f
    @Mwanamisimohammed-z2f 7 днів тому

    Thanks alot teacher, from Tanzania. Ijust understood through u're quick and simple solving😮😮😮

  • @ethano9046
    @ethano9046 Рік тому

    Thank you so much, this was incredibly helpful and made the topic so much easier to understand!

  • @yuanjiang6549
    @yuanjiang6549 5 років тому

    Your teaching is excellent . Easy to understand and more practical. Great teacher

  • @gabs0149
    @gabs0149 5 років тому +1

    I never learn anything from my teachers in college classes. This guy breaks it down FOR FREE on youtube. God bless. I hope to pass my next exam thanks to you.

  • @matrix-_-360
    @matrix-_-360 4 роки тому

    Mr. Mario our teacher sent this to watch because of Coronavirus we can't afford school.
    Thank you, Mr. Mario

  • @백-k3j
    @백-k3j 4 роки тому

    All Concepts Nicely put together in one video!!! Nice for a review when put at x1.5 speed

  • @kuretasu-san3252
    @kuretasu-san3252 Рік тому +1

    Great video on the fundamentals of combinatorics. I did have a bit of a grey area in my understanding on the very last deck question, for, say, a) all are diamonds, why do we not account for choosing 13 diamonds out of 52 cards and then 5 diamonds out of those 13 in our dealt hand.

  • @Wallucks.
    @Wallucks. 6 років тому +2

    Very helpful, I understood most of it already but it makes for great revision before my exam!
    Thanks a lot!

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому +2

      You’re welcome Olivier! Glad it helped you review for your exam!

    • @Wallucks.
      @Wallucks. 6 років тому +1

      @@MariosMathTutoring I got an A! Will definitely recommend your channel!

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому +1

      Congrats on your A! Great job!

  • @aubreycamachomd5717
    @aubreycamachomd5717 6 років тому

    Very nicely done. Right to the point with brilliant clarity and abundant information.

  • @Hinchey613
    @Hinchey613 День тому

    Mario you're doing a great job

  • @saidulislam4946
    @saidulislam4946 3 роки тому +1

    THANKS A LOT !!! OMG I APPRECIATE IT A LOT. YOU"RE LITERALLY A LIFE SAVER, SIR. MY DEEPEST RESPECT FOR YOU.

  • @isaactesfaye7313
    @isaactesfaye7313 3 роки тому

    THANK YOU SO MUCH ALL YOUR VIDEOS ARE EXTREMELY HELPFUL

  • @SgtPeppersLonelyHeartsClubBand
    @SgtPeppersLonelyHeartsClubBand 3 роки тому

    This guy is beyond a genius.

  • @mondolawrancearmba
    @mondolawrancearmba Рік тому

    Wow! An excellent explaination.... Thanks 👍.....Sir keep it up. .

  • @vaihirata43
    @vaihirata43 3 роки тому

    Thank you. Love the visual and clear explanations.

  • @camiweber1136
    @camiweber1136 2 роки тому

    Thank you so much this actually helped me so much I missed a couple days of school and this made me really happy I could understand 💞💞💞

  • @tatendamadhuro5737
    @tatendamadhuro5737 4 роки тому +1

    Thanks a lot Sir!That's really a great and simplified tutorial.

  • @catalinaalvarez5919
    @catalinaalvarez5919 3 роки тому

    thank you so much sir..I found yor channel.helps me a lot sir.God bless.(from Phillipines)

  • @leahdegruchy2338
    @leahdegruchy2338 4 роки тому +1

    This was wonderful. Thank you!

  • @ссссс-н8с
    @ссссс-н8с 3 роки тому

    I understood everything, sir. Thank you so much!

  • @robertyoung4807
    @robertyoung4807 3 роки тому

    Mario. You are a genius

  • @savannaho4355
    @savannaho4355 4 роки тому

    Thank you for giving a title to each section of the video!

  • @melonnelon855
    @melonnelon855 6 років тому +1

    Wow! Teaching really is a gift. Thank you Sir

  • @chinogitarista7379
    @chinogitarista7379 4 роки тому

    I love it. I am enjoying math again.

  • @ibrahimahmethan586
    @ibrahimahmethan586 4 роки тому

    I would thank you from the bottom of my heart for making such a great tutorial

  • @prac-wv8jt
    @prac-wv8jt 4 роки тому

    Thanks Mario. Very helpful video.

  • @noahdapilah171
    @noahdapilah171 3 роки тому

    Sir , I appreciate you sir for this great teaching

  • @simontran1901
    @simontran1901 4 роки тому

    Came in clutch Mario appreciate it

  • @kamatabhay2
    @kamatabhay2 6 років тому +1

    Good way of teaching!now my concepts are getting cleared thanks a lot love from India

  • @swift_178
    @swift_178 3 роки тому

    Thank you so much. This is a lifesaver.

  • @josephinetondo5076
    @josephinetondo5076 5 років тому

    Great video...the topic was kinda difficult but as the presentor gave more samples, its clear to understand...from Philippines

  • @kosgei245
    @kosgei245 3 роки тому

    You've earned a subscriber