In how many different ways can a ski club consisting of 20 p

In how many different ways can a ski club consisting of 20 people select a person for its officers? The positions available are president, vice president, treasurer, and secretary. No person can hold more than one positions and the each office is filled in order.

Solution

Here, order matters, as there are ranks, so we choose permutations.

Thus, there are 20P3 = 6840 ways. [ANSWER]