Three Pairs on a Cube
A cube is painted so that exactly two faces are red, two are white and two are blue. Two painted cubes are the same if one can be rotated to match the other. How many different painted cubes are there? Give an integer.
Related problems & prerequisites
Worth solving first
- Six Colours, Six Faces 7.0/10
- Painting a Cube in Three Colours 7.0/10
- Painting a Tetrahedron 7.0/10
Source: Standard application of Burnside's lemma; no traceable original source. Statement written for AxiomIQ.