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A 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?

 Aug 4, 2023
 #2
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Here's what I think

 

Total possible teams = C(14, 6)  =  3003 teams

 

Total teams that include all three triplets =   choose the three triplets and then, from the remaining 11 people, choose any  3 of them =   C(11,3)  = 165  teams

 

Total teams  that don't include the three triplets =  3003 - 165  =  2838 teams

 

cool cool cool

 Aug 4, 2023

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