Factorial and counting seat arrangements | Probability and Statistics | Khan Academy

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Пікірлер: 58

  • @mechanicalromance6748
    @mechanicalromance67482 жыл бұрын

    It feels so good to understand something you tought you would never understand

  • @ibrahimmotala1069
    @ibrahimmotala10697 жыл бұрын

    This guy is such a boss

  • @Ashik787
    @Ashik7873 жыл бұрын

    "hopefully you enjoyed that", of course i did

  • @mossab7136
    @mossab71366 жыл бұрын

    I love this video, it really helped. I switched schools recently and the new math teacher didn't care at all to help me cover what I missed and this is honestly great

  • @duckatatonugget8245

    @duckatatonugget8245

    4 жыл бұрын

    nukes Oof man I feel bad for you TELL ON HER OR HIM XD

  • @MM-vn3le

    @MM-vn3le

    3 жыл бұрын

    @@duckatatonugget8245 just sayin', you should use 'them' as a gender-neutral pronoun. It's much more appropriate, and, ya know, non-offensive. It isn't cisnormative.

  • @julie2070
    @julie20708 жыл бұрын

    Thx! I totally got it! Great vid

  • @harleentewatia3854
    @harleentewatia38549 жыл бұрын

    this video made it so easy for me! THANK YOU!

  • @hurairahsartandcraft4515

    @hurairahsartandcraft4515

    7 ай бұрын

    yo u alive?

  • @adengoher4343
    @adengoher43433 жыл бұрын

    Thank you for this video!

  • @yummysoup
    @yummysoup3 жыл бұрын

    i never enjoyed mathematics like this before.

  • @issacvallejo2317
    @issacvallejo23179 жыл бұрын

    Can you make a video of multiplication with the steps

  • @marinsrok6100
    @marinsrok61008 жыл бұрын

    how do write like that? tablet, graphical computer,mouse ...? PS.great video

  • @Riano_1
    @Riano_14 жыл бұрын

    Great teacher 👍

  • @ernestyegha371
    @ernestyegha3714 жыл бұрын

    your explanation was fun

  • @Jerseygirltrader24
    @Jerseygirltrader246 жыл бұрын

    Should have watched it before my exam.

  • @gamenation9912

    @gamenation9912

    3 жыл бұрын

    lol me too

  • @thorthanos2486
    @thorthanos24862 жыл бұрын

    Only God can bless the man

  • @mmaking8664
    @mmaking86648 жыл бұрын

    Khan academy is the BEST! U guys are world champions in teaching!!!!!!!

  • @gerarddonovan4145
    @gerarddonovan4145 Жыл бұрын

    Brilliant thanks

  • @nadiagotdragon6362
    @nadiagotdragon63627 жыл бұрын

    Amazing video!Thank you so much

  • @caroljones6835

    @caroljones6835

    6 жыл бұрын

    Nadia GotDragon

  • @dancsz
    @dancsz6 жыл бұрын

    scenario 6 is how i feel towards math

  • @jannatoitri6692
    @jannatoitri66924 жыл бұрын

    Great........

  • @emmankianga9082
    @emmankianga90826 жыл бұрын

    thank you!

  • @khawarmehmood1966
    @khawarmehmood19668 жыл бұрын

    awesome lecture

  • @TheLiquidMix
    @TheLiquidMix Жыл бұрын

    The plot twist at the end, where the name of the equation is the name in the video title! Did not see that coming.

  • @mohabgera7449
    @mohabgera7449 Жыл бұрын

    Fabulous

  • @mharr198
    @mharr1989 жыл бұрын

    Sho you rite

  • @issacvallejo2317
    @issacvallejo23179 жыл бұрын

    I hope so

  • @jaroslavbenes3963
    @jaroslavbenes3963 Жыл бұрын

    Now how was I count if I would have different numbers of seats and persons🤔

  • @AbdulTheGamer
    @AbdulTheGamer9 жыл бұрын

    Hi

  • @afiaathoi7168
    @afiaathoi71682 жыл бұрын

    Wow

  • @aminemohammedaffani2644
    @aminemohammedaffani26442 ай бұрын

    why do we multiply

  • @subarnasubedi7938
    @subarnasubedi79388 жыл бұрын

    I think its wrong because circular permutation is actually (n-1)! not n! please answer me !!

  • @bangznilisashsh2469

    @bangznilisashsh2469

    7 жыл бұрын

    i also confuse too

  • @zapxcero

    @zapxcero

    7 жыл бұрын

    you are correct actually

  • @theodorebauer6251

    @theodorebauer6251

    7 жыл бұрын

    That would be the case if you were calculating how many seating orderings there were. In that case, for example, CBA would be considered the same as ACB. If you wanted to calculate that, you would need to divide the result found in this video by three, the number of people there are - because for each ordering, there would be three equivalent orderings (you can think of it as, with each ordering, you can turn the table three times to get unique seating setups). With this case, it would be 3!/3=(3*2*1)/3=2!. In general, it's n!/n, which is equivalent to (n-1)!, as you have said. However in this example, we are interested in each unique seating setup, so it is just n!.

  • @seventyfive7597

    @seventyfive7597

    6 жыл бұрын

    Subama is actually correct, a round table is often used to differentiate the question from a question about say a bench, as it emphasizes that the starting location does not matter. Hence, (n-1)! would be a better answer for a question like this.

  • @jeyan6672

    @jeyan6672

    5 жыл бұрын

    My thoughts too. Clockwise and counterclockwise arrangements are counted once only

  • @shahrbanobadakhsh1441
    @shahrbanobadakhsh14413 жыл бұрын

    A family has 3 sons and 2 daughters.if we want boys to sit together and girls together how is this possible ? Please answer me.

  • @rokeyasultana1735
    @rokeyasultana17354 жыл бұрын

    Why do we multiply the number of possibilities ?

  • @yasmin9718

    @yasmin9718

    4 жыл бұрын

    product rule

  • @DunwellAntwi

    @DunwellAntwi

    4 ай бұрын

    Mentioning the rule is the worst answer you can give to any question.

  • @fahadmuhammad7166
    @fahadmuhammad71662 жыл бұрын

    can some help me out

  • @sofianeamroun9342
    @sofianeamroun93422 жыл бұрын

    I think You are wrong man Because when it's a round table and a row it's not the same thing

  • @Gruemoth
    @Gruemoth4 жыл бұрын

    31 person didn't find any seat

  • @sg-kg1ki
    @sg-kg1ki3 жыл бұрын

    This is wrong , it should be (n-1)!

  • @beinghimself

    @beinghimself

    Жыл бұрын

    yes indeed your thought is true, it’s because the chairs are specified. And you could think of the first one as reference as it is the same for each way of turning the table (you can look at the table from a or b or c and when it’s just one it’s all the same). Then you could say second one was left from the first one or right, which is why they are different. Another way to look at it, is just giving the total number of possible arrangements, then you know you calculated for three different ways to look at the table, to find the number of possibilities as if we didn’t care of the chairs specifically, we just consider them all the same and we’re just looking at the table from other angles, meaning we divide by 3 to find the possibilities. In resume, you could say it’s n!/n bcz it’s the total number of possible arrangements divided by the number of ways to look at the table which is the same as the number of chairs, or it’s 1*n-1! As the first is a reference. In the video they are specified, so the first one being on seat 1 is a different thing from him sitting in 2 or 3, so tehy are 3 cases

  • @Technikplayzzz
    @Technikplayzzz7 ай бұрын

    what if there was 5 chairs and 6 people 🤔🤔🤨

  • @sadnanjuhib

    @sadnanjuhib

    7 ай бұрын

    You still do the same thing with the empty chair