What is the number of different configurations of the Rubik's cube, if we allow not only...
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What is the number of different configurations of the Rubik's cube, if we allow not only its "legal" configurations, but also configurations, obtained by taking the cube spart and assembling it back? (Note that inside the Rubik's cube there is a rigid "cross", connecting the centerpieces of faces). What is the number of different configurations of the Rubik's cube, if we allow not only its "legal" configurations, but also configurations, obtained by taking the cube spart and assembling it back? (Note that inside the Rubik's cube there is a rigid "cross", connecting the centerpieces of faces).
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