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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?

Respuesta :

luisejr77

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]

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