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: 68

Answer

8

Work Step by Step

The number of possible permutations if r items are taken from n items is nPr =$\frac{n!}{r!(n-r)!}$ The number of ways that people can select their favorite joke told by a woman and their three favorite jokes told by a man is: = 2C1 x 4C3 =$\frac{2!}{1!(2-1)!}$ x $\frac{4!}{3!(4-3)!}$ = 2! x $\frac{4!}{3!1!}$ =2*1 x $\frac{4*3!}{3!1!}$ =2 x 4 =8 ways
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