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 - Page 701: 11



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. ----------- For the two G-rating slots, 1. The movie for slot 1 can be chosen in 2 ways. 2. The movie for slot 2 can be chosen in 1 ways. The NC-17 must occupy slot 5. 3. Slot 5 can be chosen in 1 way. ...which leaves slots 3 and 4 for 2 remaining movies 4. The movie for slot 3 can be chosen in 2 ways. 5. The movie for slot 4 can be chosen in 1 ways. So, the total number of ways is $2\times 1\times 1\times 2\times 1=4$
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