MathDB
Soccer tournament

Source: Moldova NMO 2002 grade 7 problem nr.4

October 31, 2008
combinatorics

Problem Statement

Twelve teams participated in a soccer tournament. According to the rules, one team gets 2 2 points for a victory, 1 1 point for a draw and 0 0 points for a defeat. When the tournament was over, all teams had distinct numbers of points, and the team ranked second had as many points as the teams ranked on the last five places in total. Who won the match between the fourth and the eighth place teams?