Solve the problem.
-A musician plans to perform 5 selections for a concert. If he can choose from 7 different selections, how many ways can he arrange his program?
A) 21
B) 16,807
C) 35
D) 2520

Question

Quizplus · Accepted Answer

The number of ways to arrange the program is a permutation problem because the order of the selections matters. The formula for permutations of choosing r items from n items is nPr = n! / (n-r)!. Here, n = 7 (the total selections) and r = 5 (the selections to be performed), so the calculation is 7P5 = 7! / (7-5)! = 7! / 2! = (7*6*5*4*3) / (2*1) = 2520.

Solve the Problem. -A Musician Plans to Perform 5 Selections for a Concert