jmc

Question

My club has 15 members. In how many ways can we choose a president, vice-president, secretary, and treasurer, if either the secretary or the treasurer must be elected vice-president and no other member can hold more than one office?

Accepted Answer

There are 15 choices for president, 14 choices for secretary, 13 choices for treasurer, and 2 choices for vice-president, for a total of 15 14 13 2 = 5,!460 different choices.