Answer
$17,672,631,900$
Work Step by Step
RECALL:
${n}\choose{k}$$=\dfrac{n!}{k!(n-k)!}$
Use the formula above to obtain:
${37}\choose{19}$$\require{cancel}
\\=\dfrac{37!}{19!(37-19)!}
\\=\dfrac{37!}{19!18!}
\\=17,672,631,900$
College Algebra (10th Edition)
by Sullivan, Michael
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 - Page 676: 16
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