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)35
C)21
D)2520

Question

Quizplus · Accepted Answer

The number of ways to arrange 5 selections out of 7 is calculated using permutations since 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=7 and r=5, so P(7, 5) = 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