Name tags !
Source:
February 4, 2015
combinatorics
Problem Statement
Along a round table are arranged cards with the names ( all distinct ) of the members of the JBMO Problem Selection Committee . The cards are arranged in a regular polygon manner . Assume that in the first meeting of the Committee none of its members sits in front of the card with his name . Is it possible to rotate the table by some angle so that at the end at least two members sit in front of the card with their names ?