Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Section 12.2 Permutations and Combinations - 12.2 Assess Your Understanding - Page 875: 21



Work Step by Step

Recall: $C(n, r)=\dfrac{n!}{(n-r)!r!}$ Thus. \begin{align*} \require{cancel} C(26, 13)&=\dfrac{26!}{(26-13)!13!}\\ \\ &=\dfrac{26!}{13!13!}\\ \end{align*} Using a calculator gives $C(26, 13)=\frac{26!}{13!(26-13)!}=10,400,600$
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