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MathNet 2010 — Part 01 Question 123

Math Olympiad Vault · MathNet 2010 — Part 01

Question 123

From the digits $1, 2, 3, 4, 5, 6, 7, 8$, find the smallest possible value of $N$ such that, for any two distinct digits from this set, there exists a number among the $N$ numbers (each number is a four-digit number formed from these digits) which contains both of them.