Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 13 - Probability - 13-3 Permutations and Combinations - Practice and Problem-Solving Exercises: 13

Answer

$10,897,286,400$

Work Step by Step

We start with the given expression: $\frac{15!}{(15-10)!}$ First, we simplify inside of the parentheses in the denominator: $\frac{15!}{5!}$ To evaluate a factorial expression, we multiply the number by each of the preceding integers until we get to $1$. So, $\frac{15!}{5!}=\frac{15\times14\times13\times12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{5\times4\times3\times2\times1}=15\times14\times13\times12\times11\times10\times9\times8\times7\times6=10,897,286,400$
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