Each baseball team as nine players and each football team has eleven players. Six schools have both baseball and football teams.
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Since it's the order you're working out, the order in which you pick the players play a huge role. Thus, this is a permutation question.
Since you're picking 9 people from 11 players, the formula goes like this:
different ways.
Since you're picking 9 people from 11 players, the formula goes like this: