In baseball there are twenty-four different baseout configurations (runner on firsttwo outs, bases loadednone out, and so

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In baseball there are twenty-four different “baseout” configurations (runner on first—two outs, bases loaded—none out, and so on). Suppose that a new game, sleazeball, is played where there are seven bases (excluding home plate) and each team gets five outs an inning. How many base-out configurations would be possible in sleazeball?
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