olymmath

HMMT 2004 U28

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Find the value of

(20031)+(20034)+(20037)+⋯+(20032002)\binom{2003}{1}+\binom{2003}{4}+\binom{2003}{7}+\cdots+\binom{2003}{2002}

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{2^{2003}-2}{3}

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