Distinct Colorings of a Cube: How Many Are There?

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Check it out: 'Each of the faces of the cube are colored by a diff erent of six fi xed colors. How many of the colorings are distinct?'
I figured it would be 6!,very simple.
But no,there's a trick, can u figure it out!
 
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hi kingtaf! :smile:

some of your 6! are the same after a rotation :wink:
 

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