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Question

Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if all three triplets are in the starting lineup?

Accepted Answer

If all triplets are in the starting lineup, we are choosing the 3 remaining starters from 11 players, which can be done in 113 = 165 ways.