College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 9, Counting and Probability - Section 9.1 - Counting - 9.1 Exercises - Page 659: 86

Answer

161280

Work Step by Step

Think of John and Jane as 1 person, and Mike and Molly as 1 person. There are now 8 people to be arranged in a row, which has 8! = 40320 possibilities. Then, there are 2 ways to arrange John and Jane, and 2 to arrange Mike and Molly, so the total amount of arrangements is 40320 * 2 * 2 = 161280.
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