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Tetrahedron Faces

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow.

tetrahedra


How many different possibilities are there, if we count those that just differ by a rotation as the same?
How many different possibilities would there be if the tetrahedron was irregular?