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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 5 starters if the only restriction is that not all 3 triplets can be in the starting lineup?

 Dec 2, 2020
 #1
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If no triplets  are on the team =  C(11,5)  =  462  possible teams

 

If one triplet is on the team  C (3,1) *  C( 11,4)  =  990  possible teams

 

If two triplets are on the team =  C(3,2) * C ( 11, 3)  = 495 possible teams

 

So    462 + 990  +  495 =  

 

1947   different teams

 

 

cool cool cool

 Dec 2, 2020

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