Answer:
There are 29760 possible ways
Step-by-step 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:
[tex]P(n, r)=\frac{n!}{(n-r)!}[/tex]
Where n is the total number of people and you can choose r of them
So:
[tex]P(32, 3)=\frac{32!}{(32-3)!}[/tex]
[tex]P(32, 3)=\frac{32!}{29!}[/tex]
[tex]P(32, 3)=29760[/tex]
