Probability using permutations and combinations : ExamSolutions

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  • Опубликовано: 15 сен 2011
  • Permutations and combinations probabilities.
    In this tutorial I demonstrate how to calculate probabilities using permutations (arrangements) and combinations.
    See also
    PERMUTATIONS AND COMBINATIONS PLAYLIST at • Permutations and Combi...
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Комментарии • 171

  • @ali_zaid__786
    @ali_zaid__786 2 года назад +8

    I am shocked literally you post this video 10 years ago..... youtube give you award for the founder of educational content on youtube

  • @anassawas7423
    @anassawas7423 2 года назад +28

    I would recommend this playlist to anyone struggling with perms and combs.
    BEST EXPLAINATION EVER

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +20

    Hope it goes well for you - Good luck.

  • @anapecanape
    @anapecanape 10 лет назад +104

    Thanks! You remind me of Ross from F.R.I.E.N.D.S.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад +11

    Thank you and all the best for tomorrow.

  • @justnorth7400
    @justnorth7400 5 месяцев назад +2

    I have been looking for a good hour now for a clear tutorial on probability with combinations, and I have finally found it here! Thank you so much

  • @ZazzlesGS
    @ZazzlesGS 7 лет назад +26

    I've been struggling with perms and combs since the start my A levels, and finally now, after a year, I understand them, maybe now I'll pass my A level! Thank you so much!

    • @internetborn
      @internetborn Год назад

      I always wonder if you passed ur A levels

    • @ZazzlesGS
      @ZazzlesGS Год назад +8

      @@internetborn I did, I have my bachelor's now

    • @aymennimir7464
      @aymennimir7464 Год назад +1

      @@ZazzlesGS shoutout

    • @loliking6628
      @loliking6628 9 месяцев назад

      could i bag you

    • @loliking6628
      @loliking6628 9 месяцев назад

      youre so cute @@ZazzlesGS

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +7

    No probs, pleased to hear they helped

  • @encly3881
    @encly3881 5 лет назад +3

    Thanks to u I just found the answer to a maths problem I spent the last half hour straining my mind over, thanks!

  • @ksw2562
    @ksw2562 9 лет назад +6

    AMAZING now at least I understand how the two are different and when to use them, thank you

  • @gooddeedsleadto7499
    @gooddeedsleadto7499 2 года назад +5

    You are one in a million or one in 100 years kind of a teacher. It is hard to find one like you, you deserve special mathematics society honor confirmed upon to teachers like you similar to fields medal. Always stay upbeat, you are blessed. Thanks a million.
    You should train and produce mathematics teachers like u.

  • @vijaychaurasia9603
    @vijaychaurasia9603 5 лет назад +3

    You are great . Many videos do not explain the same thing so well as you do. Thanks a lot.

  • @lanacassidy9060
    @lanacassidy9060 8 лет назад +7

    thank you v helpful, million times better than my teacher!

  • @niwagabaemmanuel4566
    @niwagabaemmanuel4566 8 лет назад +1

    You guys are good. This kind of explanations makes probability simple. Kudos!

  • @peterodhiambo9423
    @peterodhiambo9423 2 года назад +1

    well elaborated.... I have got no problem at all... thank you very much🙏

  • @aishaalshawafi2599
    @aishaalshawafi2599 8 лет назад +1

    Your videos are outstanding! and I really appreciate it, thank you.

  • @starbeeleung
    @starbeeleung 7 лет назад +2

    Your explaination is great and clear,thank you so much.

  • @bryantay862
    @bryantay862 7 лет назад +2

    You really deserve more subscription. Keep up the hard work! Really understood and would really be blessed if you are my lecturer.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +1

    Cool. Keep at it and I am sure you will get there.

  • @Jordie389
    @Jordie389 11 лет назад

    thanks man! I have an exam today on combinations and permutations and this really helped!

  • @subhrasmitkar6304
    @subhrasmitkar6304 3 года назад +5

    Thanks a lot. I was really confused about the permutation and combination part. But you cleared it. Thanks!!!❤️

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад +1

    @anglican09 Pleased to hear you found it helpful.

  • @SarkySk8inGuitarist
    @SarkySk8inGuitarist 11 лет назад

    Thank You! Your videos are so clear, and are really helping me get through my AS! Thanks!!! :)

  • @anjaguldemond6234
    @anjaguldemond6234 8 лет назад

    you explain so much better than my teacher!! Thank you so much!!

  • @ambrishsudhanandan7098
    @ambrishsudhanandan7098 3 года назад +1

    that was a really awesome series very well explained

  • @ammarchen8850
    @ammarchen8850 3 года назад

    Bro thank you so much. You helped me out so much. I wish i could give you a warm hug. Keep up the great work broo!👍

  • @RachelZhang
    @RachelZhang 8 лет назад +2

    Thank you for saving my life.

  • @sitasma3339
    @sitasma3339 5 лет назад

    Omg you're a lifesaver and a really awesome teacher ❤️❤️

  • @nandinibansal3983
    @nandinibansal3983 7 лет назад +3

    This was amazing! Thank you so much.. your way of explaining is awesome! :)

  • @swaguilar_
    @swaguilar_ 6 лет назад

    You are helping me more than my teachers. I finally have a grasp on it! Thank you! :)

  • @VeltZYT
    @VeltZYT 2 года назад +1

    Omg thank u soo muchhh i owe u big bits if it werent for i i wouldnt have graduated

  • @Paulineee_v
    @Paulineee_v 8 лет назад

    thank you so much! it's our finals today and I really needed this I love you!

  • @ceelocadhays5593
    @ceelocadhays5593 4 года назад +1

    wow i did not understand even i took days but i understand in 5 minute on this thank u

  • @badjaeaux
    @badjaeaux 8 лет назад

    you are an excellent teacher ... may the King reward you

  • @radaradaitsbob
    @radaradaitsbob 11 лет назад

    Thank you! This helped me out a lot.

  • @ChennypieX12
    @ChennypieX12 7 лет назад

    Omg thank you so much, exams are coming up and I just realised that I do not understand how to do probability worded questions

  • @An_ony_mous
    @An_ony_mous 4 месяца назад

    Thanks alot. I wamted this last one bit to do questions with both P and C and Probability mixed.

  • @MsHeartBreaker16
    @MsHeartBreaker16 12 лет назад

    Now I understand better! =D
    Thank you! ^^

  • @LogeshVishal
    @LogeshVishal 7 лет назад

    I'm having my examination on Monday! I was still finding a way to solve this stuff but later when I got into this channel I understood nearly 90% of this Permutations and combinations in Probability

    • @aayaanashar9263
      @aayaanashar9263 2 года назад

      How was your examination bro.....?😄😄

  • @alexandrajones8696
    @alexandrajones8696 11 лет назад

    Found this the night before my statistics exam, thank you so much! I may have a chance now!

  • @kuldeeplohe3902
    @kuldeeplohe3902 11 лет назад

    It is most wonderful series of lectures i have ever seen on Utube for aforesaid topic do u have few more lectures on the same pls do upload the lec for circular permutation & pls do inform me i very much greatful to u for ur lectures

  • @user-lp1es8he2n
    @user-lp1es8he2n Год назад

    Thanks. Well explained 👏

  • @akatsukisempai422
    @akatsukisempai422 3 года назад

    Got stuck with this subject during online classes. TY

  • @user-bv1oy6dy8q
    @user-bv1oy6dy8q 3 года назад

    thank you very much from oman. You have helped me a lot

  • @kreinsch100
    @kreinsch100 10 лет назад

    Amazing Thank You !!!!!

  • @matinhewing1
    @matinhewing1 6 лет назад

    Excellent video! Really helped! Thanks a lot!

  • @yoyoyoc3po
    @yoyoyoc3po 7 лет назад

    Thanks a lot mate.

  • @Sergiopt96
    @Sergiopt96 11 лет назад

    thank you very much for the video :)

  • @f2t2r37
    @f2t2r37 Год назад

    thank you sir !!!

  • @sea5205
    @sea5205 5 лет назад

    This was a great video thanks a lot!

  • @shanurathore9515
    @shanurathore9515 Год назад

    Thank you so much 💖

  • @billiondollarbeast
    @billiondollarbeast 9 лет назад

    thanks super helpful

  • @movischoy3388
    @movischoy3388 11 лет назад

    Thank you very much!!!:)

  • @matthewsmiley7742
    @matthewsmiley7742 4 года назад +1

    Oh so helpful! Thanks

  • @Sh4wnTzy
    @Sh4wnTzy 7 лет назад

    thank you sir 😊

  • @DisguisedEnzo
    @DisguisedEnzo 10 лет назад

    saw this questions on a cambridg statistics as level past paper, very usefull thanks!

    • @oneinabillion654
      @oneinabillion654 5 лет назад

      Rly? I wished Im gonna have questions like this this coming OCT NOV AS test

  • @user-wf4hx1tx7b
    @user-wf4hx1tx7b 5 месяцев назад +1

    very understandable teacher.

  • @elijahprice5174
    @elijahprice5174 5 лет назад

    thanks man that was awesome

  • @omyyer
    @omyyer 12 лет назад

    thank you, friend :D

  • @shamoil4444
    @shamoil4444 11 лет назад

    This is the easy stuff........ I need more advanced examples.

  • @antoinepoisson4791
    @antoinepoisson4791 3 года назад

    thanks a LOT

  • @chesterbennington3741
    @chesterbennington3741 3 года назад

    Thanks Gordon

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +1

    i) 29C6 is correct and (ii) 29C7

  • @thehrchannel8983
    @thehrchannel8983 8 лет назад

    You explain better than my professor. I can't even read half my professor's handwriting.

  • @aryadamle8772
    @aryadamle8772 3 года назад

    really helpful series, pls make 1 on geometric and binomial distribution

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  3 года назад

      ruclips.net/video/NaDZ0zVTyXQ/видео.html&ab_channel=ExamSolutions Please check out our series on the binomial distribution.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад

    Good

  • @ashrafibrahim4934
    @ashrafibrahim4934 5 лет назад

    A multiple-choice question on an economics quiz contains 10 questions with five possible answers each. Compute the probability of randomly guessing the answers and getting exactly 9 questions correct.
    I figured the answer should be 10C9*((1/5)^9)*(4/5). But a website says it is 9*4/(5^10). I will be grateful if you can clear the confusion.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад

    Good luck

  • @bumboy8736
    @bumboy8736 3 года назад

    7 years later, thank you

  • @Aiden_h9
    @Aiden_h9 2 года назад

    Good day sir, I just want to ask quick question, where did you get the 120 and the 48 from? I tried to work it out where you actually get the 120 and 48 from, can you explain on the comment box please!

  • @shozebkohari9593
    @shozebkohari9593 3 года назад

    october exams are close and thank god your videos are so damn helpful keeo up the good work

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  3 года назад

      Thanks and good luck.

    • @kathleenolivier1588
      @kathleenolivier1588 3 года назад

      @@ExamSolutions_Maths
      Hi sir can you tell me the answer for this question.
      A coach has 16 players and can pick from 11 players for a match. it consist of 7 specialist batsmen, 4 fast bowlers, 3 spinner and 2 wicketkeeper. how many different teams can be formed if it must comprised of 6 specialist batsmen, 3 fast bowlers , 1 spinner and a wicketkeeper.

    • @isi6402
      @isi6402 3 года назад

      @@kathleenolivier1588 7C6 * 4C3 * 3C1 * 2C1 Dude use combinations.

    • @suryamanjunathang4947
      @suryamanjunathang4947 2 года назад

      @@isi6402 divided by 16C11

  • @TheBlazefire33
    @TheBlazefire33 10 лет назад

    this is an easy question....do one where the letters of a word have to be in an order and we need that probability

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад

    Yes it can be

  • @biski800
    @biski800 2 года назад

    Thank you! I don’t live in an English speaking country, but your videos make much more sense than my professor (˃̵ᴗ˂̵)

  • @DarkDungeon-ux6rz
    @DarkDungeon-ux6rz 5 лет назад +1

    In the second example, when finding the no of arrangements where A and B are together, shouldn't we divide by 2! instead of multiplying?
    Also, thank you very much your videos explain the concepts very well!

    • @0mfgitzramzi
      @0mfgitzramzi 5 лет назад

      no you should multiply. since a and b can swapped and still be grouped together (b before a), that effectively doubles the number of possible arrangements that have a and b being beside each other which is why you multiply the 4! by 2.

  • @ayamgorengspicy3x
    @ayamgorengspicy3x 8 лет назад +2

    Im actually dont understand how and when I gonna use P and C. Thanks, now Im understand. Tomorrow I have quiz about Statistics. zzz

  • @SilentEagle2029
    @SilentEagle2029 12 лет назад

    @ExamSolutions hey im in 7th grade and learning this and this was helpful a lot but how did u know wether or not it was combination or permutation? If u have a trick with this it would help a lot and i am now going to use these videos for future reference all of the time get it or not. Thanks for being such a smart person and being able to do this stuff. To me this is difficult

    • @rajdipshah9225
      @rajdipshah9225 2 года назад

      if the quesrion is asking to arrange, then permutation, if ir's asking to SELECT/CHOOSE, it's combination

  • @ramanshrivastava1407
    @ramanshrivastava1407 2 месяца назад

    watching from 2024 amazing video really 🫡🫡

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад +1

    @MsHeartBreaker16 cool

  • @realdragon
    @realdragon Год назад

    If I roll 2 dice and the only thing I care about is sum of these dice should I use permutation or combination?

  • @rajeshkalakoti2434
    @rajeshkalakoti2434 5 лет назад +1

    Andy has 5 toy ships and 6 toy planes. He wants to make an exhibition showing 3
    models of one kind and 4 models of the other kind. How many ways there are to pick the exhibition
    set from his collection?

  • @bonchasilark
    @bonchasilark 10 лет назад

    good luck on fri guys

  • @SilentEagle2029
    @SilentEagle2029 12 лет назад

    @stupermanana thanks I passed it....with a 65...now I'm in 8th grade so yea thanks again only 2 months too late tho...

  • @stupermanana
    @stupermanana 12 лет назад

    can u use the notation (permutation) for the ABCDE question, as in 4 permute 2 (eg) because I dont understand how to show it.

  • @jamesivan24
    @jamesivan24 11 лет назад

    In how many ways can seven students from a class of 30 be chosen for a field trip if Jack must go on the field trip. I'm assuming this is the same equation as 6 out of 29 students being chosen (29 nCr 6 on a graphing calculator). Is that correct? I'm assuming on the next question (what if Jack can't go on the trip) is the same formula. I just want to make sure I'm doing it right. Thanks, guys! You rock!

  • @gran7773
    @gran7773 3 года назад

    what if by any chance cards with letter A and B refuses to be together what would the solution be?

  • @selenaferrerart
    @selenaferrerart 4 года назад

    You Made this EASY - awesome teacher. you are SAVING my ass right now!

  • @jameslucas6754
    @jameslucas6754 3 года назад

    how come for the second video the nPr=n!/(n-r)! wasn't used?

  • @stupermanana
    @stupermanana 12 лет назад

    dont worry ur stil in grade 7^^ permutations: order matters (how many ways can 5 books be arranged on a shelf) the way you order the books.
    Combinations: order doesn't matter. eg (how many ways can 3 groups be formed from 7 ppl, the order doesn't matter)

  • @tbilisi45
    @tbilisi45 11 лет назад

    I didn't quite follow you on the ABCDE problem. How exactly did you come up with 4! ways of A and B being together? There are only 5 places for an A; out of those 5 places, for 2 of them - first and last, there's only one place a 'B' can be put, to be next to A, and out of remaining 3 middle places for 'A', there are only two neighboring places for 'B' to be next to 'A'.
    Which gives us total of 1+1+2+2+2 = 8 combinations for A and B to be next to each other.
    thanks.

  • @nickolascrousillat4265
    @nickolascrousillat4265 5 лет назад

    My teacher decided to teach this instead of giving us an EOC exam.

  • @jainikajeda3448
    @jainikajeda3448 12 лет назад

    is this for o level add math?

  • @sirhc1999
    @sirhc1999 12 лет назад

    is it OCR?

  • @dontbeserious5153
    @dontbeserious5153 5 лет назад

    Sir may you clarify?
    In the second example did you mean 4!/2! Or 4! × 4! ?

  • @tbilisi45
    @tbilisi45 11 лет назад

    Care to elaborate any further?

  • @SilentEagle2029
    @SilentEagle2029 12 лет назад

    oh and im having a quiz tomorrow March 30

  • @sean_tristan31
    @sean_tristan31 7 лет назад +7

    Why do we multiply the combinations instead of adding them up? Can someone explain?

    • @Sh4wnTzy
      @Sh4wnTzy 7 лет назад +2

      Sean Tristan Francisco principles of counting...multiplication rule

    • @shafiahmed8103
      @shafiahmed8103 6 лет назад

      Sean Tristan Francisco

    • @ninanime21
      @ninanime21 5 лет назад +1

      Sean Tristan Francisco...because there are different sets... So we have to use the multiplication operation. However, if we have the same set then we can use adition.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  10 лет назад

    There were 5 gaps to fill not 6

  • @hanshus5989
    @hanshus5989 11 лет назад

    48 is the correct ans dude

  • @zilikam2nd433
    @zilikam2nd433 Год назад

    Anyone else using this to experiment with herbs in Pathologic?