How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 10 members? Assume that no member can hold more than one office.
A) 24
B) 40
C) 5040
D) 210

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the officers are chosen matters. There are 10 options for president, 9 remaining options for vice-president, 8 for secretary, and 7 for treasurer. Thus, the total number of ways is 10 * 9 * 8 * 7 = 5040.

How Many Ways Can a President, Vice-President, Secretary, and Treasurer