olymmath

RU-ALLRUSSIAN 1970 Problem 8

    Five n- digit binary numbers have the property that every two numbers have the same digits in just m places, but no place has the same digit in all five numbers. Show that 2/5≤m/n≤3/52 / 5 \leq \mathrm{m} / \mathrm{n} \leq 3 / 5 .

    Dataset text NuminaMath olympiads. Quoted with source.

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