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: 3

Answer

120

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 a sentence is chosen, there is one less left to choose from. 1. The 1st sentence can be chosen in $5$ ways. 2. The 2nd sentence can be chosen in $4$ ways. 3. The 3rd sentence can be chosen in $3$ ways. 4. The 4th sentence can be chosen in $2$ ways. 5. The 5th sentence can be chosen in $1$ ways. Total ways to arrange the sentences: $5\times 4\times 3\times 2\times 1=5!=120$
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