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: 13

Answer

$1,866,442,158,555,975$

Work Step by Step

RECALL: ${n}\choose{k}$$=\dfrac{n!}{k!(n-k)!}$ Use the formula above to obtain: ${55}\choose{23}$$\require{cancel} \\=\dfrac{55!}{23!(55-23)!} \\=\dfrac{55!}{23!32!} \\=1,866,442,158,555,975$
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