Answer
$P(7,2) = 42$
Work Step by Step
Use the formmula $P=\dfrac{n!}{(n-r)!}$ to obtain:
$\require{cancel}
P(7,2)
\\=\dfrac{7!}{(7-2)!}
\\=\dfrac{7\times6\times5!}{5!}
\\=\dfrac{7\times6\times\cancel{5!}}{\cancel{5!}}
\\=7\times6
\\=42$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
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: 8
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