olymmath

HMMT 2011 U35

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An independent set of a graph GG is a set of vertices of GG such that no two vertices among these are connected by an edge. If GG has 2000 vertices, and each vertex has degree 10 , find the maximum possible number of independent sets that GG can have.

Dataset text NuminaMath olympiads. Quoted with source.

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2047^{100}

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