00:01
We have this department consisting of eight different professors.
00:02
We need to choose a random three of them for a committee.
00:06
Now, how many different ways can we do that? well, since it's just a committee, the order doesn't matter.
00:11
We could choose this one, this one, and this one, for example, and that's the exact same as choosing them in the opposite order.
00:18
This one, this one, this one.
00:20
They're all three on the committee.
00:22
So, how many ways can we do this? well, when we hear that the order doesn't matter, we should automatically think of a combination.
00:29
That is, combinations are going to choose a random selection, but the order of this random selection does not matter.
00:36
So we need to make a random combination from a total of eight, and we need to choose three...