Factorial and counting seat arrangements | Probability and Statistics | Khan Academy
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Пікірлер: 58
It feels so good to understand something you tought you would never understand
This guy is such a boss
"hopefully you enjoyed that", of course i did
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
4 жыл бұрын
nukes Oof man I feel bad for you TELL ON HER OR HIM XD
@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.
Thx! I totally got it! Great vid
this video made it so easy for me! THANK YOU!
@hurairahsartandcraft4515
7 ай бұрын
yo u alive?
Thank you for this video!
i never enjoyed mathematics like this before.
Can you make a video of multiplication with the steps
how do write like that? tablet, graphical computer,mouse ...? PS.great video
Great teacher 👍
your explanation was fun
Should have watched it before my exam.
@gamenation9912
3 жыл бұрын
lol me too
Only God can bless the man
Khan academy is the BEST! U guys are world champions in teaching!!!!!!!
Brilliant thanks
Amazing video!Thank you so much
@caroljones6835
6 жыл бұрын
Nadia GotDragon
scenario 6 is how i feel towards math
Great........
thank you!
awesome lecture
The plot twist at the end, where the name of the equation is the name in the video title! Did not see that coming.
Fabulous
Sho you rite
I hope so
Now how was I count if I would have different numbers of seats and persons🤔
Hi
Wow
why do we multiply
I think its wrong because circular permutation is actually (n-1)! not n! please answer me !!
@bangznilisashsh2469
7 жыл бұрын
i also confuse too
@zapxcero
7 жыл бұрын
you are correct actually
@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
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
5 жыл бұрын
My thoughts too. Clockwise and counterclockwise arrangements are counted once only
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.
Why do we multiply the number of possibilities ?
@yasmin9718
4 жыл бұрын
product rule
@DunwellAntwi
4 ай бұрын
Mentioning the rule is the worst answer you can give to any question.
can some help me out
I think You are wrong man Because when it's a round table and a row it's not the same thing
31 person didn't find any seat
This is wrong , it should be (n-1)!
@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
what if there was 5 chairs and 6 people 🤔🤔🤨
@sadnanjuhib
7 ай бұрын
You still do the same thing with the empty chair