1....40 teams play a tournament.each team plays every other team just once.each game results in a win for one team.if each team has 50% chance of winning each game...find the pr that at the end of tournament every team has won a diff number of games???
only way that each team has different no. of wins is that the wins for team be 0, 1, 2,3..... upto 39.if it doesnot matter who is winning from whom then the cases will be 40!
and probability i think is 40!/{ C(821,39)* 2 ^ 40}