olymmath

HMMT November 2019 U22

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

Dataset text NuminaMath olympiads. Quoted with source.

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9\left(10^{2019}-9^{2019}\right)

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