Question 147
Eight persons join a party.
(1) If there exist three persons who know each other in any group of five, prove that we can find that four persons know each other.
(2) If there exist three persons in a group of six who know each other in a cyclical manner, can we find four persons who know each other in a cyclical manner?
(1) If there exist three persons who know each other in any group of five, prove that we can find that four persons know each other.
(2) If there exist three persons in a group of six who know each other in a cyclical manner, can we find four persons who know each other in a cyclical manner?