In how many ways can a group of 11 elect a president secret

In how many ways can a group of 11 elect a president , secretary, and treasurer?

Solution

There are 11 in the group, and we take 3 to be officers.

The order matters, as the officers are not equal in rank.

Thus, we use PERMUTATIONS instead of combinations.

Thus,

#ways = 11P3 = 990 [ANSWER]