MathDB
TOT 124 1986 Autumn J6 28 teams in football tournament, 75 %

Source:

August 29, 2019
toutnamentcombinatorics

Problem Statement

In a football tournament of one round (each team plays each other once, 22 points for win , 11 point for draw and 00 points for loss), 2828 teams compete. During the tournament more than 75%75\% of the matches finished in a draw . Prove that there were two teams who finished with the same number of points.
(M . Vora, gymnasium student , Hungary)