Solve.
-A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?
A) 15,120
B) 59,049
C) 45
D) 126

Question

Quizplus · Accepted Answer

This is a permutation problem because the order of the selections matters. The formula for permutations is P(n, r) = 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. Here, n=9 and r=5, so P(9, 5) = 9! / (9-5)! = 9! / 4! = (9×8×7×6×5!)/4! = 15,120.

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