Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 12 - Data Analysis and Probability - 12-7 Thoretical and Experimental Probability - Mixed Review - Page 762: 53



Work Step by Step

Use the formula of combination: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$. Plug in 9 for N and 1 for R: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$ $_{9}$C$_{1}$=$\frac{9!}{1!(9-1)!}$ -simplify like terms- $_{9}$C$_{1}$=$\frac{9!}{1! (8!)}$ -write using factorial- $_{9}$C$_{1}$=$\frac{9*8*7*6*5*4*3*2*1}{(1)(8*7*6*5*4*3*2*1)}$ -simplify- $_{9}$C$_{1}$=9
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