MathDB
football tournament (IV Soros Olympiad 1997-98 R2 9.1)

Source:

June 1, 2024
algebranumber theory

Problem Statement

The football tournament was played in one round. 33 points were given for a win, 11 point for a draw, and 00 points for a loss. Could it be that the first place team under the old scoring system (win - 22 points, draw - 11 point, loss - 00) would be last?