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: 64

Answer

This makes sense.

Work Step by Step

The number of possible permutations if r items are taken from n items is: nPr = $\frac{n!}{(n-r)!}$ The above formula makes sense because the order matters for the batting lineup, so all possible 9 player combinations must be considered.
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