olymmath

HMMT 2005 U5

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For how many integers nn between 1 and 2005 , inclusive, is 2⋅6⋅10⋯(4n−2)2 \cdot 6 \cdot 10 \cdots(4 n-2) divisible by n!n! ?

Dataset text NuminaMath olympiads. Quoted with source.

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2005

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Locator hmmt/2005/u5 · Tag 1AGK5VSEQB · Edit this page on GitHub · Keys: j next, k previous