Prove that either there are 3 of them that all know each other or there are 3 of them such that nobody knows each other
Prove that either there are 3 of them that all know each other or there are 3 of them such that nobody knows each other
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose 6 people stay together at a hotel. Prove that either there are
3 of them that all know each other or there are 3 of them such that
nobody knows each other. Assume that A knows B if and only if B
also knows A.
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