olymmath

TUYMAADA 2018 S7

    A school has three senior classes of MM students each. Every student knows at least 34M\frac{3}{4}M people in each of the other two classes. Prove that the school can send MM non-intersecting teams to the olympiad so that each team consists of 33 students from different classes who know each other.

    Proposed by C. Magyar, R. Martin

    Dataset text AI-MO AoPS. 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

    Similar problems

    These problems have the most words in common with this statement.

    Locator tuymaada/2018/s7 · Tag 3HD0KT90A8 · Edit this page on GitHub · Keys: j next, k previous