MathDB
Arranging participants in a specific way.

Source:

February 7, 2011
combinatorics unsolvedcombinatorics

Problem Statement

At the math contest each participant met at least 33 pals who he/she already knew. Prove that the Jury can choose an even number of participants (more than two) and arrange them around a table so that each participant be set between these who he/she knows.