Question

Mrs. Pearson's class needs to pick a President, Vice President, and Treasurer. If there are 32 students in the class, how many different ways could the roles be assigned?

Answer 1

There are 29760 possible ways

Explanation:

Mrs. Pearson must elect a President, a Vice President and a Treasurer. Then you must choose 3 people. In this case the order matters, because there are three different positions (President, Vice President and Treasurer)

So this is a problem of perm

So this is a problem of permutations. The formula to calculate a permutation is:

`P(n, r)=(n!)/((n-r)!)`

Where n is the total number of people and you can choose r of them

So:

`P(32, 3)=(32!)/((32-3)!)`

`P(32, 3)=(32!)/(29!)`

`P(32, 3)=29760`