00:01
All right, in this question, we are establishing a committee of professors.
00:05
So we have a department that has eight professors in it, and we want a committee of three professors.
00:10
We want to figure out how many ways we can make a committee of three professors.
00:14
Okay, so let's think of our scenario here.
00:18
Obviously, in this case, we can't repeat professors, so we can't repeatedly choose professors.
00:22
We need three unique professors.
00:25
So our objects are unique.
00:27
There is no repetition.
00:29
But it says that we just need a committee of three professors.
00:33
There is not necessarily a position that we have to put every professor in.
00:37
So in this case, order doesn't matter either.
00:40
So if there's no repetition and order doesn't matter, we can solve this using a combination.
00:46
So let's go ahead and we're going to plug it into a combination formula.
00:52
Now let's figure out what numbers we need here.
00:54
We have a total department of eight and we're choosing from that.
00:57
We're choosing three.
00:58
So we have eight here, probably we're going to be doing eight choose three, just like that...