How many ways can a president, vice-president, and secretary be chosen from a club with 12 members? Assume that no member can hold more than one office.
A) 220
B) 1320
C) 6
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 (in this case, members) and r is the number of items to choose. Here, n=12 (members) and r=3 (offices), so the calculation is 12P3 = 12! / (12-3)! = 12! / 9! = 12 x 11 x 10 = 1320.

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