Chess tournament
Source: May Olimpiad 2019 L1 P2
March 10, 2021
combinatoricsnumber theory
Problem Statement
More than five competitors participated in a chess tournament. Each competitor played exactly once against each of the other competitors. Five of the competitors they each lost exactly two games. All other competitors each won exactly three games. There were no draws in the tournament. Determine how many competitors there were and show a tournament that verifies all conditions.