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Combinatorics 6.0/10

Black and White Corners

Each of the 8 vertices of a cube is coloured black or white. Two colourings are the same if a rotation of the cube carries one to the other. How many different colourings are there? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Standard application of Burnside's lemma; no traceable original source. Statement written for AxiomIQ.