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 - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 766: 37

Answer

220

Work Step by Step

We have to find the number of combinations of 12 jurors chosen 9 at a time. Use the formula of combination: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$. Plug in 12 for N and 9 for R: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$ $_{12}$C$_{9}$=$\frac{12!}{9!(12-9)!}$ -simplify like terms- $_{12}$C$_{9}$=$\frac{12!}{9! (3!)}$ -write using factorial- $_{12}$C$_{9}$=$\frac{12*11*10*9*8*7*6*5*4*3*2*1}{(9*8*7*6*5*4*3*2*1)(3*2*1)}$ -simplify- $_{12}$C$_{9}$=220 220
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