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Our school's girls volleyball team has 14 players, including a set of 3 triplets: Missy, Lauren, and Liz. In how many ways can we choose 6 starters if the only restriction is that not all 3 triplets can be in the starting lineup?

Mr.Owl  Oct 31, 2017
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The total number of possible teams is

 

C(14,6)   =  3003

 

Let all three triplets be on one team......

 So the number of possible teams in this scenario is  C(14,3)  = 364

 

So....the number of teams that DON'T include all three of the triplets is

 

3003 - 364   =   2639

 

 

cool coolcool

CPhill  Oct 31, 2017

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