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: 8

Answer

$P(7,2) = 42$

Work Step by Step

Use the formmula $P=\dfrac{n!}{(n-r)!}$ to obtain: $\require{cancel} P(7,2) \\=\dfrac{7!}{(7-2)!} \\=\dfrac{7\times6\times5!}{5!} \\=\dfrac{7\times6\times\cancel{5!}}{\cancel{5!}} \\=7\times6 \\=42$
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