MathDB
Problems
Contests
National and Regional Contests
Latvia Contests
Latvia BW TST
2021 Latvia Baltic Way TST
P7
P7
Part of
2021 Latvia Baltic Way TST
Problems
(1)
Football training
Source: Latvian TST for Baltic Way 2021 P7
9/25/2021
22
22
22
football players took part in the football training. They were divided into teams of equal size for each game (
11
:
11
11:11
11
:
11
). It is known that each football player played with each other at least once in opposing teams. What is the smallest possible number of games they played during the training.
combinatorics