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Old 10-14-2007, 03:23 PM
TomCollins TomCollins is offline
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Join Date: Jul 2003
Location: Approving of Iron\'s Moderation
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Default Re: Help with Pigeon Hole Problems

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Prove that in any polyhedron, there exist two faces with same number of edges.

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A polyhedron will have n faces. Each face will have at least 1 edge and at most n-1 edges. There are a total of n-1 different number of possible edges. Since there are n faces, at least two must have the same number of edges.
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