How many ways can a coach assign eleven different players to one of the four positions, if there must be exactly one goalkeeper, but there is no restriction on the number of players at each outfield position?
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How many ways can 11 boys on a soccer team be grouped into 4 forwards, 3 midfielders, 3 defenders, and 1 goalie?
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According to the rules of the International Football Association, a football (soccer) team consists of eleven players. One player is the goalkeeper; the other ten players consist of defenders, midfielders, and strikers. There is no restriction on the number of players at each position, as long as the total number of outfield players is ten. How many different configurations are there for a team?
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