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MathNet 2010 — Part 06 Question 82

Math Olympiad Vault · MathNet 2010 — Part 06

Question 82

The teacher handed Matej four sheets of paper, each with a non-zero digit. Matej lined up the lists and thus formed a four-digit number. When he changed two sheets of each other without turning or spinning them, he formed another four-digit number. Was he able to form numbers that were no stranger to each other, regardless of which digits were written on the sheets?