MathDB
n+1 people knowing each other

Source: Bosnia and Herzegovina TST 2013 problem3

May 20, 2013
inequalitiesinductioncombinatorics proposedcombinatorics

Problem Statement

Prove that in the set consisting of (2nn)\binom{2n}{n} people we can find a group of n+1n+1 people in which everyone knows everyone or noone knows noone.