## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 813: 16

#### Answer

$\begin{pmatrix} 7 \\ 4 \end{pmatrix}=35$

#### Work Step by Step

Seventh row of Pascal's triangle: $1~~7~~21~~35~~35~~21~~7~~1$ It corresponds to: $\begin{pmatrix} 7 \\ 0 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 1 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 2 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 3 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 4 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 6 \end{pmatrix}$ $\begin{pmatrix} 7 \\ 7 \end{pmatrix}$ So, $\begin{pmatrix} 7 \\ 4 \end{pmatrix}=35$

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