Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Review Exercises - Page 871: 54

Answer

$165$

Work Step by Step

Binomial coefficient can be found as: $\dbinom{n}{k}=\dfrac{n!}{r!(n-r)!}$ Thus, $\dbinom{11}{8}=\dfrac{11!}{8!(11-8)!}$ or, $=\dfrac{11 \cdot 10 \cdot 9 \cdot 8!}{8!(3)!}$ or, $=\dfrac{11 \cdot 10 \cdot 9}{3 \cdot 2 \cdot 1}$ or, $=165$
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