Question

Question #dd2ca

Answer 1

I make it 495...

Explanation:

...an earlier answer identified that there are 11880 different sets of 4 people you can select from your population of 12.

But now you need to determine how many ways these 4 people can be elected to the distinct positions.

For each of the 11880 sets of 4 people you select, you have to make a further determination.

From the 4 people in the set, you can select any of the 4 for president.

For each of those selections, you can select any of the remaining 3 for vice president.

Then, select any of the remaining 2 for treasurer.

So that's 4! (4 * 3 * 2 * 1) ways to arrange a set of 4 people.

So, then, you have to divide your 11880 sets of 4 people by 4! = 24.

Giving 495.

GOOD LUCK