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 with no restrictions? (The triplets are treated as distinguishable.)
I can use the formula for the number of ways to choose r objects from n objects, which is nCr = n!/(r!(n-r)!), where ! means factorial. In this case, n = 14, the total number of players, and r = 6, the number of starters. So, the number of ways to choose 6 starters from 14 players is 14C6 = 14!/(6!(14-6)!) = 3003.

