MathDB
St.Peterburg, P2 Grade 11, 2013

Source:

April 17, 2014
combinatorics proposedcombinatorics

Problem Statement

At the faculty of mathematics study 4040 boys and 1010 girls. Every girl acquaintance with all boys, who older than her, or tall(higher) than her. Prove that there exist two boys such that the sets of acquainted-girls of the boys are same.