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2001 IMO Shortlist Problems/N1

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Problem

Prove that there is no positive integer n such that, for k = 1,2,\ldots,9, the leftmost digit (in decimal notation) of (n + k)! equals k.

Solution

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Resources

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
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