MathDB
new point system in World Cup in America (1994)

Source: Tuymaada 1994 p1

April 27, 2019
combinatoricspoints

Problem Statement

World Cup in America introduced a new point system. For a victory 33 points are given, for a draw 11 point and for defeat 00 points. In the preliminary games, the teams are divided into groups of 44 teams. In groups, teams play with each other, once, then in accordance with the points scored a,b,ca,b,c and dd (a>b>c>da>b>c>d) teams take the first, second, third and fourth place in their groups. Give all possible options for the distribution points a,b,ca,b,c and dd