Solve the problem.
-How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members? Assume that no member can hold more than one office.
A) 1680
B) 32
C) 70
D) 24

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the officers are chosen matters. There are 8 options for president, 7 for vice-president (since one person is already chosen as president), 6 for secretary, and 5 for treasurer. Thus, the total number of ways is 8 * 7 * 6 * 5 = 1680.

Solve the Problem. -How Many Ways Can a President, Vice-President, Secretary, and Treasurer