• Colouring a cube

From sivakottayam@gmail.com@21:1/5 to All on Sat Feb 1 22:45:53 2020
Total number of faces = 6
Coloring can be in the following ways.

All black- 1 way
All white _ 1 way
5 black and 1 white - 1 way
1 b and 5 w - 1 way
4 b and 2 w - 2 ways ( whites are adjacent and opposite, such two possibilities)
2 b and 4 w - 2 ways ( same reason)
3 b and 3 w - 2 ways (3 blacks or whites are in corner and linear)

So total = 12 ways

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• From sivakottayam@gmail.com@21:1/5 to All on Sat Feb 1 23:01:26 2020
Total number of faces = 6
Sides can be coloured in the following ways.

All black- 1 way
All white _ 1 way
5 black and 1 white - 1 way
1 b and 5 w - 1 way
4 b and 2 w - 2 ways ( whites are adjacent or opposite, such two possibilities) 2 b and 4 w - 2 ways ( same reason)
3 b and 3 w - 2 ways (3 blacks or whites are in corner or linear)

So, total number of ways = 10

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* Origin: fsxNet Usenet Gateway (21:1/5)