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A college's baseball roster consists of 11 pitchers, 3 catchers, 6 infielders, and 7 outfielders. If the team manager randomly selects 9 players, what

A college's baseball roster consists of 11 pitchers, 3 catchers, 6 infielders, and 7 outfielders. If the team manager randomly selects 9 players, what is the probability that he selects 1 pitcher, 1 catcher, 4 infielders, and 3 outfielders?

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