A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible ifthere are 15 members and any member can be elected to each position? No person can hold more than oneoffice.
A) 2730
B) 1365
C) 910
D) 32,760

Question

Quizplus · Accepted Answer

The number of ways to choose a president, vice-president, and secretary-treasurer from 15 members, with no repetition, is a permutation of 15 items taken 3 at a time: 15P3 = 15! / (15-3)! = 15 * 14 * 13 = 2730.

A Club Elects a President, Vice-President, and Secretary-Treasurer