How many possible lineups are there


Eleven soccer players wish to form a team consisting of 3 forwards, 3 midfielders, 4 defenders, and one goalie. There are only 2 people who can play goalie, both of whom can also play any other position. Of the remaining 9, 4 can play only forward or midfielder; the other 5 can play only defender or midfielder. How many possible lineups are there?

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Basic Statistics: How many possible lineups are there
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