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    OlympiadEasyCombinatorics7–9

    What is the smallest number of whole numbers that must be chosen to be certain that two of them have a difference divisible by 77?

    Qual é o menor número de inteiros que é preciso escolher para ter a certeza de que dois deles têm diferença divisível por 77?

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    Solution

    Step 1 of 3

    1. 1.Two numbers have a difference divisible by 77 exactly when they leave the same remainder on division by 77.