MathDB
5 digit combination in bank safe

Source: VIII May Olympiad (Olimpiada de Mayo) 2002 L1 P4

September 22, 2022
number theoryDigits

Problem Statement

In a bank, only the manager knows the safe's combination, which is a five-digit number. To support this combination, each of the bank's ten employees is given a five-digit number. Each of these backup numbers has in one of the five positions the same digit as the combination and in the other four positions a different digit than the one in that position in the combination. Backup numbers are: 0734407344, 1409814098, 2735627356, 3642936429, 4537445374, 5220752207, 6382263822, 7055870558, 8523785237, 9766597665. What is the combination to the safe?
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