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 teams, each two of which scored a different number of points. ( points were given for a victory, point for a draw, 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)?