olymmath

HMMT 2018 C9

  • Combinatorics
  • Answer

How many ordered sequences of 36 digits have the property that summing the digits to get a number and taking the last digit of the sum results in a digit which is not in our original sequence? (Digits range from 0 to 9. )

Dataset text NuminaMath olympiads. Quoted with source.

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9^{36}+4

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