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MathNet 2009-part-05 — 172 problems (EN–VI) Question 20

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 20

In how many distinct ways can you color each of the vertices of a tetrahedron either red, blue, or green such that no face has all three vertices the same color? (Two colorings are considered the same if one coloring can be rotated in three dimensions to obtain the other.)