March 28, 2017

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A certain professional soccer team runs a 4-4-2 formation on the field. This means they play with 4 defenders, 4 midfielders, 2 forwards, and 1 goalkeeper on the field. If the team has 6 defenders, 5 midfielders, 3 forwards, and 2 goalkeepers, how many different groups of 11 starting players could they have?
note that:Each player only plays in his designated position. The 2nd goalkeeper is not allowed to play as a defender.

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