Solve.
-How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?
A) 36
B) 24
C) 3024
D) 126

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 means the product of all positive integers up to that number. Here, n=9 (the total members) and r=4 (the positions to be filled), so the calculation is 9P4 = 9! / (9-4)! = 9! / 5! = (9*8*7*6*5!) / 5! = 9*8*7*6 = 3024.

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