olymmath

HMMT 2010 U6

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How many different numbers are obtainable from five 5 s by first concatenating some of the 5 s, then multiplying them together? For example, we could do 5⋅55⋅55,555⋅555 \cdot 55 \cdot 55,555 \cdot 55, or 55555 , but not 5⋅55 \cdot 5 or 2525 .

Dataset text NuminaMath olympiads. Quoted with source.

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