olymmath

BG-MO 2023 Problem 6

    In a class of 2626 students, everyone is being graded on five subjects with one of three possible marks. Prove that if 2525 of these students have received their marks, then we can grade the last one in such a way that their marks differ from these of any other student on at least two subjects.

    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 bg-mo/2023/p6 · Tag FCS1DYY714 · Edit this page on GitHub · Keys: j next, k previous