Possible 4-4-2 Formations

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?

Details and assumptions:
Each player only plays in his designated position. The \(2^\text{nd}\) goalkeeper is not allowed to play as a defender.

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