You can put this solution on YOUR website! How many ways can 3 outfielders and 4 infielders be chosen from 5 outfielders and 7 infielders.
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Choose 3 outfielder: 5C3 = (5*4)/(1*2) = 10
Choose 4 infielders: 7C4 = (7*6*5)/(1*2*3) = 35
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Total number of ways to pick outfielders and infielders: 10*35 = 350
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Cheers,
Stan H.