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 - Standardized Test Prep - Page 762: 49

Answer

462 different 5-player teams.

Work Step by Step

Use the formula of combination: $_{n}$$C_{r}$=$\frac{n!}{r!(n-r)!}$. Plug in 11 for N and 5 for R: $_{n}$$C_{r}$=$\frac{n!}{r!(n-r)!}$ $_{11}$$C_{5}$=$\frac{11!}{5!(11-5)!}$ $_{11}$$C_{5}$=$\frac{11!}{5!(6)!}$ $_{11}$$C_{5}$=$\frac{11*10*(*8*7*6*5*4*3*2*1}{5*4*3*2*1(*5*4*3*2*1)}$ $_{11}$$C_{5}$=462 462 different 5-player teams
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