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Omni-MATH / 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.

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problem

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.
Plain-text mathematical notation (without MathML)
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.
Original LaTeX notation
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.

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