Forty teams play a tournament. Each team plays every other team just once. Each game result in a win for one team. If each team has a 50% chance of winning each game, the probability that at the end of the tournament, every team has won a different number of games is

April 9, 2022

by Ezee_Notes

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Maths Problems

Question : Forty teams play a tournament. Each team plays every other team just once. Each game result in a win for one team. If each team has a 50% chance of winning each game, the probability that at the end of the tournament, every team has won a different number of games is

(A) 1/780

(B) $\dfrac{40!}{2^{780}}$

(D) None of these

Answer : option (B)

solution :

Forty teams play a tournament. Each team plays every other team just once. Each game result in a win for
one team. If each team has a 50% chance of winning each game, the probability that at the end of the
tournament, every team has won a different number of games is