MathDB
0371 combinatorics 3rd edition Round 7 p1

Source:

May 9, 2021
combinatorics3rd edition

Problem Statement

In a soccer championship 20042004 teams are subscribed. Because of the extremely large number of teams the usual rules of the championship are modified as follows: a) any two teams can play against one each other at most one game; b) from any 44 teams, 33 of them play against one each other. How many days are necessary to make such a championship, knowing that each team can play at most one game per day?