00:01
This problem wants us to determine if each of the following are a permutation or a combination, and find the number of arrangements or combinations.
00:08
And the scenario we're given is the student body of 10 students wants to elect a president, vice president, secretary, and treasurer.
00:15
And here, when we're trying to make the decision between a permutation or a combination, a combination would be what we would go with when the order does not matter.
00:29
And when we look at this scenario, we wouldn't be able to say that the order does not matter, because if somebody gets elected for president, that's very different than getting selected for vice president or secretary or treasurer.
00:39
So we would go with permutation here, because our order does matter.
00:45
And to figure out the number of ways we could come up with these selections for the four positions from the 10 students, we would look at all four selections we would have to make, and look at the number of possibilities we'd have for each.
00:58
And first, for president, we're going to have all 10 students that we could pick from.
01:02
So there's 10 possibilities there...