Football league
Source: Finnish Mathematics Competition 2010, Final Round, Problem 4
November 15, 2011
modular arithmeticinductioncombinatorics unsolvedcombinatorics
Problem Statement
In a football season, even number of teams plays a simple series, i.e. each team plays once against each other team. Show that ona can group the series into rounds such that in every round every team plays exactly one match.