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A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
搜到原题,答案是6
解释来自网络
If the base of the cube is red, then in order the adjacent faces to be painted with the different colors, the top must also be red. 4 side faces can be painted in Green-Blue-Green-Blue OR Blue-Green-Blue-Green (2 options).
But we can have the base painted in either of the three colors, thus the total number of ways to paint the cube is 3*2=6.
Answer: B. |
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