Solve the problem.
-How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members? Assume that no member can hold more than one office.
A)24
B)126
C)3024
D)36

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the officers are chosen matters. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items (or people, in this case) and r is the number of items to be chosen. Here, n=9 (members) and r=4 (offices), so the calculation is 9P4 = 9! / (9-4)! = 9! / 5! = (9*8*7*6*5!) / 5! = 9*8*7*6 = 3024.

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