Solve the problem.
-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) 36
B) 220
C) 1320
D) 6

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 to choose from, r is the number of items to choose, and "!" denotes factorial, which is the product of all positive integers up to that number. Here, n=12 (the total members) and r=3 (the positions to fill). So, the calculation is 12P3 = 12! / (12-3)! = 12! / 9! = (12 x 11 x 10 x 9!) / 9! = 12 x 11 x 10 = 1320.

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