olymmath

HMMT 2001 U23

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Alice, Bob, and Charlie each pick a 2-digit number at random. What is the probability that all of their numbers' tens' digits are different from each others' tens' digits and all of their numbers' ones digits are different from each others' ones' digits?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{112}{225}

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