MathDB

Six distinguishable players are participating in a tennis tournament. Each player plays one match of tennis against every other player. The outcome of each tennis match is a win for one player and a loss for the other players; there are no ties. Suppose that whenever

A

and

B

are players in the tournament for which

A

won (strictly) more matches than

B

over the course of the tournament, it is also the case that

A

won the match against

B

during the tournament. In how many ways could the tournament have gone?

Problem Statement