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 1105: 91

Answer

$14400$ ways.

Work Step by Step

The first place is a woman and has 5 choices. The second place is a man and has 5 choices. The third place is a woman and has 4 choices. The fourth place is a man and has 4 choices. Thus, the total number is $5\times5\times4\times4\times3\times3\times2\times2\times1\times1=14400$ ways.
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