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Forty team play a tournament. Each team ...

Forty team play a tournament. Each team plays every other team just once. Each game results in a win for one team. If each team has a 50% chance of winning each game, the probability that he end of the tournament, every team has won a different number of games is (A) `1/780` (B) `(40!)/2^(783)` (C) `(40!)/2^(780)` (D) none of these

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