0:00
Hello.
00:01
So for the first part here for part a, they're given all the same task.
00:07
This is going to be a combination.
00:09
So if the advisor gives the same work to all the students, we are going to be asked, well, basically, how many ways can we choose the students from 14, right? so how many ways can the advisor choose five students from the class of 14? this is going to be just 5 or 14, choose 5, or 14, which is, as a combination.
00:32
So 14 choose 5, 5.
00:36
That's going to be equal to, so 14 choose 5.
00:43
That's equal to 14 factorial and then divided by, well, 5 factorial times 14 minus 5 factorial.
00:56
Okay, so what is that equal to? well, we take 14 minus 5.
01:04
Factorial is 9 factorial.
01:07
So we can write this out as 14 factorial, which is 14 times 13, times 12, times 11, times 10, and then times, well, 9 factorial, that's going to be divided by 9 factorial, which is going to cancel, and they're just dividing by 5 factorial...