A group of 5 students must select a president, a vice-president, a secretary, and a treasurer. In how many possible ways can this be accomplished?

1 answer

We can use the permutation formula to solve this problem.

There are 5 choices for president, then 4 choices remain for vice-president, then 3 choices remain for secretary, and finally 2 choices remain for treasurer. So, the number of possible ways to select these officers is:

5 x 4 x 3 x 2 = 120

Therefore, there are 120 possible ways for the 5 students to select a president, a vice-president, a secretary, and a treasurer.