In how many distinguishable ways can the four faces of a regular tetrahedron be
Chapter 57, Problem 57.12(choose chapter or problem)
In how many distinguishable ways can the four faces of a regular tetrahedron be paintedwith four different colors if each face is to be a different color and two ways are consideredindistinguishable if one can be obtained from the other by rotation of the tetrahedron? (Thegroup of rotations in this case has order 12. In addition to the identity, there are eight 1200rotations around lines such as ae in the following figure, and three 1800 rotations around linessuch as/g.)
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