MathDB
15 teams in football tournament (IV Soros Olympiad 1997-98 R3 10.10)

Source:

June 2, 2024
number theoryalgebra

Problem Statement

The football tournament, held in one round, involved 1616 teams, each two of which scored a different number of points. (33 points were given for a victory, 11 point for a draw, 00 points for a defeat.) It turned out that the Chisel team lost to all the teams that ultimately scored fewer points. What is the best result that the Chisel team could achieve (insert location)?