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: 7

Answer

$7,920$

Work Step by Step

RECALL: $P(n, r) = \dfrac{n!}{(n-r)!}$ Use the formula above to obtain: $P(11, 4) = \dfrac{11!}{(11-4)!} \\P(11, 4) = \dfrac{11!}{7!} \\P(11, 4) = \dfrac{11(10)(9)(8)(7!)}{7!}$ Cancel the common factor $7!$ to obtain: $P(11, 4) = 11(10)(9)(8) \\P(11, 4) = 7,920$
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