Tennis tournament combinations question? 32 players There are 32 players in a tennis tournament which is played by elimination. The tournament bracket is determined by random draw before the first match (i.e., there is no seeding). How many possible results of the tournament are there? We do not care who played whom, just who finished in the first round, who finished in the second round, and so on.

From the $32$, pick one winner. and a silver medalist. Then pick two who were eliminated in the semi's. Then pick four who were eliminated in the quarters. Then... How many ways can this be done?