College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 7 - Section 7.4 - The Binomial Theorem - 7.4 Exercises - Page 664: 17

Answer

$1$

Work Step by Step

Using $_nC_r=\dfrac{n!}{r!(n-r)!},$ the given expression, $ _{9}C_{0} $ evaluates to \begin{array}{l}\require{cancel} =\dfrac{9!}{0!(9-0)!} \\\\= \dfrac{9!}{0!9!} \\\\= \dfrac{\cancel{9!}}{(1)(\cancel{9!})} \\\\= 1 \end{array}
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