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MathNet 2019-part-08 — 179 problems (EN–VI) Question 100

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 100

Let $f(n)$ be the number of distinct digits of $n$ when written in base 10. Compute the sum of $f(n)$ as $n$ ranges over all positive 2019-digit integers.