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Coloring a cube

In how many ways a cube can be colored with n different colors such that no 2 neighboring or adjacent faces are colored with same color?

Note by Abdullah Ahmed
1 month, 2 weeks ago

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I have solved it . Abdullah Ahmed · 1 week, 6 days ago

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@Abdullah Ahmed Great! How would you explain the approach? Calvin Lin Staff · 1 week, 6 days ago

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Isn't the formula 1/24(n^6+12n^3+3 n^4+8n^2)? I know it from Burnside's lemma. but in the question two adjacent sides are not colored with same color. so what is the general formula for it? @Calvin Lin Abdullah Ahmed · 1 month, 2 weeks ago

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@Abdullah Ahmed What have you tried? Calvin Lin Staff · 1 month, 2 weeks ago

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