Question
The numbers `1`, `2`, `3`, ..., `8` are written on the vertices of a cube. Prove that there exists an edge of the cube such that the difference between the numbers at its endpoints is at least `3`.
Difficulty level (1 very easy - 10 very hard): 3
Topics:
Geometry
->
Solid Geometry / Geometry in Space
Combinatorics
->
Pigeonhole Principle
Combinatorics
->
Graph Theory
Logic
->
Reasoning / Logic
Proof and Example
->
Proof by Contradiction
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