College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 9, Counting and Probability - Section 9.1 - Counting - 9.1 Exercises: 5

Answer

$336$

Work Step by Step

RECALL: $P(n, r) = \dfrac{n!}{(n-r)!}$ Use the formula above to obtain: $P(8, 3) = \dfrac{8!}{(8-3)!} \\P(8, 3) = \dfrac{8!}{5!} \\P(8, 3) = \dfrac{8(7)(6)(5!)}{5!}$ Cancel the common factor $5!$ to obtain: $P(8, 3) = 8(7)(6) \\P(8, 3) = 336$
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