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Chapter 13: Q. 61 (page 856)

A basketball team has 6 players who play guard (2 of 5 starting positions). How many different teams are possible, assuming that the remaining 3 positions are filled and it is not possible to distinguish a left guard from a right guard?

Short Answer

Expert verified

180teams

Step by step solution

01

. Given Information 

We are given that in a basketball team of 6 the 2 of 5 starting positions are playguard, assuming that the remaining 3 positions are filled and it is not possible to distinguish a left guard from a right guard then we need to find how many different teams are possible

02

. Finding the number of teams

We need to find the number of teams possible which we can do in a ways :

C(5,2)脳C(4,2)脳C(3,2)=5!2!3!脳4!2!2!脳3!2!1!

5脳4脳3!2脳1脳3!脳4脳3脳2!2脳1脳2!脳3脳2!2!脳1=5脳42脳4脳32脳3

5脳2脳2脳3脳3=180teams

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