• 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

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • 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

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)