Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.2 Permutations - Exercise Set 11.2: 1

Answer

720

Work Step by Step

The Fundamental Counting Principle$:$ The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. ----------- Once an act is chosen, there is one less left to choose from. 1. The 1st act can be chosen in 6 ways. 2. The 2nd act can be chosen in 5 ways. 3. The 3rd act can be chosen in 4 ways. 4. The 4th act can be chosen in 3 ways. 5. The 5th act can be chosen in 2 ways. 6. The 6th act can be chosen in 1 way. Total ways to arrange the acts: $6\times 5\times 4\times 3\times 2\times 1=6!=720$
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