Six Colours, Six Faces
Six different colours are available, and each face of a cube is painted a different colour (so each colour is used exactly once). Two cubes are the same if one can be rotated to look exactly like the other. How many distinguishable cubes are there? Give an integer.
Related problems & prerequisites
Worth solving first
- How Many Standard Dice? 6.0/10
- Colouring the Edges of a Cube 6.0/10
- Black and White Corners 6.0/10
Source: Classic exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.