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AIME 2004a Problem 3

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A convex polyhedron PP has 2626 vertices, 6060 edges, and 3636 faces, 2424 of which are triangular and 1212 of which are quadrilaterals. A space diagonal is a line segment connecting two non-adjacent vertices that do not belong to the same face. How many space diagonals does PP have?

Dataset text AIME 1983 to 2026. Quoted with source.

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241

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