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FI-MO 2001 Problem 4

    A sequence of seven digits is randomly chosen in a weekly lottery. Every digit can be any of the digits 0,1,2,3,4,5,6,7,8,9.0, 1, 2, 3, 4, 5, 6, 7, 8, 9. What is the probability of having at most fi ve diff erent digits in the sequence?

    Dataset text AI-MO AoPS. Quoted with source.

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