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: 14

Answer

$P(8,3) = 336$

Work Step by Step

Use the formula $P(n, r)=\dfrac{n!}{(n-r)!}$: $P(8,3) \\ = \dfrac{8!}{(8-3)!} \\= \dfrac{8!}{5!} \\= \dfrac{8\times7\times6\times5!}{5!} \\= 8\times7\times6 \\ = 336$
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