olymmath

USAMO 1978 Problem 5

  • Day 2

There are 9 delegates at a conference, each speaking at most three languages. Given any three delegates, at least 2 speak a common language. Show that there are three delegates with a common language.

Dataset text NuminaMath olympiads. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator usamo/1978/p5 · Tag 3FHJ9V95Q3 · Edit this page on GitHub · Keys: j next, k previous