MathDB

6

Part of 2007 Junior Tuymaada Olympiad

Problems(1)

1-round chess tournament involves 10 players from 2 countries

Source: Tuymaada Junior 2007 p6

5/12/2019
One-round chess tournament involves 10 10 players from two countries. For a victory, one point is given, for a draw - half a point, for defeat - zero. All players scored a different number of points. Prove that one of the chess players scored in meetings with his countrymen less points, than meeting with players from another country.
combinatorics