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 - Section 11.4 - The Binomial Theorem - Exercise Set - Page 864: 7

Answer

$4950$

Work Step by Step

Formula to calculate the Binomial Coefficient is: $\displaystyle \binom{n}{k}=\dfrac{n!}{k!(n-k)!}$ Let's see how this formula works: $\displaystyle \binom{100}{2}=\dfrac{100!}{2!(100-2)!}=\dfrac{ 100 \cdot 99 \cdot 98!}{2 \cdot 1 \cdot 98!}=4950$
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