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: 37

Answer

There are 120 different ways to schedule the appearances.

Work Step by Step

We know that the situation involves making choices with six 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 six performances. That is, $5\times 4\times 3\times 2\times 1\times 1=120$ Hence, there are 120 different ways to schedule the appearances.
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