Algebra 1

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

Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 754: 37


220 different 9-person juries

Work Step by Step

Use the formula of combination: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$. Plug in 12 for N and 9 for R because we have to find the combination of 12 jurors chosen 9 at a time: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$ $_{12}$C$_{9}$=$\frac{12!}{12!(12-9)!}$ -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 There are 220 different 9-person juries
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.