MathDB

3

Part of 1999 Argentina National Olympiad

Problems(1)

2k people in a trick tournament

Source: Argentina 1999 OMA L3 p3

5/13/2024
In a trick tournament 2k2k people sign up. All possible matches are played with the condition that in each match, each of the four players knows his partner and does not know any of his two opponents. Determine the maximum number of matches that can be in such a tournament.
combinatorics