00:02
First, we want to know how many ways to distribute the donuts.
00:05
24 donuts to 24 kids.
00:08
So the first donut, there are 24 kids it can go to, so 24 options.
00:13
Second donut, well, one kid already has a donut, so 23 options.
00:18
Next donut, two kids already have donuts, so 22 options.
00:23
Continuing all the way down until there's only one donut, only one kid can get it.
00:27
So this will be 24 factorial.
00:31
In the second case, we have to give antonio the lemon filled donut.
00:36
So that lemon filled donut, there is one person i can give it to.
00:40
For the second donut, i can give it to anybody except antonio, which is 23 options.
00:47
Next donut, 22 options left.
00:50
So on and so forth until the last donut can only go to one kid.
00:54
So this time 23 factorial options because the lemon -filled donut had to go to antonio.
01:02
For the next one, antonio and rachel are the two kids who can get the lemon -filled donut.
01:08
So this time the lemon -filled donut can go to two different people.
01:12
So there's two options for the lemon -filled donut...