Polish MO 2022 P6
Source: Polish MO 2022 P6
February 12, 2022
combinatoricsgraph theory
Problem Statement
players took part in badminton tournament, where is positive and odd integer. Each two players played two matches with each other. There were no draws. Each player has won as many matches as he has lost. Prove that you can cancel half of the matches s.t. each player still has won as many matches as he has lost.