Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - Chapter Test - Page 791: 22

Answer

No, it is not possible. $C(n,r)$ is defined as $\frac{n!}{r!(n-r)!}$. If we do a combination where $n < r$ $n-r$ will be negative, and factorials are only defined for nonnegative integers.

Work Step by Step

No, it is not possible. $C(n,r)$ is defined as $\frac{n!}{r!(n-r)!}$. If we do a combination where $n < r$ $n-r$ will be negative, and factorials are only defined for nonnegative integers.
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