MathDB
BMT 2014 Spring - Individual 17

Source:

January 22, 2022
combinatoricsgeometry

Problem Statement

A convex solid is formed in four-dimensional Euclidean space with vertices at the 2424 possible permutations of {1,2,3,4}\{1, 2, 3, 4\} (so (1,2,3,4)(1, 2, 3, 4), (1,2,4,3)(1, 2, 4, 3), etc.). What is the product of the number of faces and edges of this solid?
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