NL-NWO 1963 Problem 5
You want to color the side faces of a cube in such a way that each face is colored evenly. Six colors are available: red, white, blue, yellow, purple, orange. Two cube colors are called the same if one arises from the other by a rotation of the cube. (a) How many different cube colorings are there, using six colors? (b) How many different cube colorings are there, using exactly five colors?
Dataset text AI-MO AoPS. Quoted with source.
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