Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3: 66

Answer

240 ways

Work Step by Step

We have a sequence of selections. 1. The first joke is selected (one) from two possible women. (in ${}_{2}C_{1}=2$ ways) 2. The rest of the 5 jokes can be arranged in: ${}_{5}P_{5}=5!$ ways Fundamental Counting Principle: Total= $2\times 5!=2\times 120=$ 240 ways
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