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 - 12-7 Theoretical and Experimental Probability - Practice and Problem-Solving Exercises - Page 774: 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$_{5}$=$\frac{11!}{5!(11-5)!}$ -simplify like terms- $_{11}$C$_{5}$=$\frac{11!}{5! (6!)}$ -write using factorial- $_{11}$C$_{5}$=$\frac{11*10*9*8*7*6*5*4*3*2*1}{(5*4*3*2*1)(6*5*4*3*2*1)}$ -simplify- $_{11}$C$_{5}$=462 462 different 5-player teams
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