# Chapter 7 - Section 7.4 - The Binomial Theorem - 7.4 Exercises - Page 664: 9

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#### Work Step by Step

Using the formula of ${n}\choose{k}$$=\frac{n!}{k!(n-k)!}$ where $n=k=14$: ${14}\choose{14}$=$\frac{14!}{14!0!}$ By definition: $0!=1$, therefore, ${14}\choose{14}$=$\frac{14!}{14!}=1$

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