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) 16,807
B) 21
C) 35
D) 2520

Question

Quizplus · Accepted Answer

This is a permutation problem because the order of the selections matters. The formula for permutations is P(n, k) = n! / (n-k)!, where n is the total number of items to choose from, and k is the number of items to choose. Here, n=7 and k=5, so P(7, 5) = 7! / (7-5)! = 7! / 2! = 5040 / 2 = 2520.

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