Geometry: Common Core (15th Edition)

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

Chapter 13 - Probability - Mid-Chapter Quiz - Page 843: 12



Work Step by Step

To evaluate a factorial expression, we multiply the number by each of the preceding integers until we get to $1$. We simplify the factorials in the numerator and in the denominator, and then divide: $\frac{12!}{5!7!}=\frac{12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{(5\times4\times3\times2\times1)(7\times6\times5\times4\times3\times2\times1)}=\frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1}=792$
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