MathDB
Problem 6, Iberoamerican Olympiad 2010

Source:

September 25, 2010
combinatorics proposedcombinatorics

Problem Statement

Around a circular table sit 1212 people, and on the table there are 2828 vases. Two people can see each other, if and only if there is no vase lined with them. Prove that there are at least two people who can be seen.