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How many different ways can 3 cubes be painted if each cube is painted ... ...

How many different ways can 3 cubes be painted if each cube is painted one color and only the 3 colors red, blue, and green are available? (Order is not considered, for example, green, green, blue is considered the same as green, blue, green.)
(A) 2
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set K: Elimination Strategies

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Posted: 03/15/2012 19:20
What an awful explanation, I'm sorry; but the real explanation is this:
since there are 6 sides of a cube and every cube is given one color automatically, the other 5 sides can have any combination of the 3 stated colors. So you'd do:
5![3!•2!] which is 120/(6•2) which is equal to 10.
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