Puzzle #128: Who won yesterday’s football tournament?

#128 Tournament headache

Four hungover footballing mathematicians groaned in unison. “Anyone remember who won yesterday’s tournament between our four teams?” asked Ranko, the Red Star Belgradient goalkeeper. Ignacio, the Integer Milan striker, raised his hand feebly. “I remember that we each played each other once. Three points for a win. One for a draw. And all of the scorelines were different.”

Tom, the Tottingup Hotspur defender, opened one eye. “Are 1-0 and 0-1 different or the same?” “They’re the same, obviously!” said Patrick, of PSV Eigenvector, adding: “I remember that every team scored a different number of goals in each…