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Topology

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Coloring A Tetrahedron

TOPO-YCDEK4

What is the number of rotationally distinct colorings of a tetrahedron using primary colors red, green, and/or blue?

Hint: The group of rotational symmetries of a tetrahedron is isomorphic to the alternating group $A_4$.

A

11

B

12

C

14

D

15

E

17