Color the Cube

Probability Level 2

If two sides of a six-sided cube are colored black and the remainder are colored white, how many possible cube colorings are there?

(NOTE: If a cube can be rotated to look identical to another cube it is considered the same.)

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Jason Dyer by Jason Dyer

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1 solution

Anthony Holm
Oct 26, 2016

The two black sides could either share an edge or they could be on opposite sides of the cube, thus there are two possible configurations

1 Helpful 1 Interesting 0 Brilliant 0 Confused

This needs a little more argument to ensure that these are the only two. (For example, you fix one side at black, and indicate of the 5 possible other sides 1 is the opposite and the other 4 are all adjacent and will rotate to be the same.)

Jason Dyer Staff - 4 years, 7 months ago

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