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18-06-2020
Mathematics

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The faces of a cube are painted so that any two faces which have an edge in common are painted different colors. What is the smallest number of colors required? 2 3 4 5 6

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18-06-2020

Answer:

3 colors are required.

Step-by-step explanation:

3 colors are required.

We get this because the only way the same color of paint doesn't touch the same edge if it's on the opposite side. There are 3 pairs of opposite sides on our cube, so we must have 3 different colored paints.

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