Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.6 - Counting Principles, Permutations, and Combinations - Exercise Set - Page 1104: 38

Answer

There are 24 different ways to schedule the appearances.

Work Step by Step

We know that the situation involves making choices with five performances. We use the fundamental counting principle to find the number of ways to schedule the appearances. Multiply the number of choices for each of the five performances. That is, $4\times 3\times 2\times 1\times 1=24$ Hence, there are 24 different ways to schedule the appearances.
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