Determine the Appropriate Counting Technique to Use
-In how many ways can a board of supervisors choose a president, a treasurer, and a secretary from its 5 members
A) 60
B) 125
C) 120
D) 10

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the board members are chosen matters (president, treasurer, secretary). The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items, and r is the number of items to choose. Here, n=5 and r=3, so the calculation is 5! / (5-3)! = 5! / 2! = 120 / 2 = 60.