Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.6 - The Binomial Theorem - 12.6 Exercises - Page 886: 3

Answer

$\displaystyle \frac{n!}{r!(n-r)!}$ $4$

Work Step by Step

see p.881. $\displaystyle \left(\begin{array}{l} n\\ r \end{array}\right)=\frac{n!}{r!(n-r)!}$ $\displaystyle \left(\begin{array}{l} 4\\ 3 \end{array}\right)=\frac{4!}{3!(4-3)!}=\frac{4\times 3\times 2\times 1}{3\times 2\times 1\times 1}=4$
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