Answer
1
Work Step by Step
Using the formula of ${n}\choose{k}$$=\frac{n!}{k!(n-k)!}$ where $n=k=15$:
${15}\choose{15}$=$\frac{15!}{15!0!}$
By definition: $0!=1$, therefore,
${15}\choose{15}$=$\frac{15!}{15!}=1$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
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: 10
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