Solve.
-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) 35
C) 2520
D) 16,807

Question

Quizplus · Accepted Answer

The number of ways to arrange his program is given by the permutation formula, which is $P(n, r) = \frac{n!}{(n-r)!}$. Here, $n = 7$ (total selections) and $r = 5$ (selections to choose). Thus, $P(7, 5) = \frac{7!}{(7-5)!} = \frac{7!}{2!} = \frac{7 \times 6 \times 5 \times 4 \times 3}{2 \times 1} = 2520$.

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