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ASU 136 All Soviet Union MO 1970 m same digits in 5 n-digit numbers

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June 24, 2019
number theoryDigits

Problem Statement

Given five nn-digit binary numbers. For each two numbers their digits coincide exactly on mm places. There is no place with the common digit for all the five numbers. Prove that 2/5m/n3/52/5 \le m/n \le 3/5