College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.5 - The Binomial Theorem - 9.5 Assess Your Understanding: 14

Answer

$4,191,844,505,805,495$

Work Step by Step

RECALL: ${n}\choose{k}$$=\dfrac{n!}{k!(n-k)!}$ Use the formula above to obtain: ${60}\choose{20}$$\require{cancel} \\=\dfrac{60!}{20!(60-20)!} \\=\dfrac{60!}{20!40!} \\=4,191,844,505,805,495$
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