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Sam wants to color the three sides of an equilateral triangle.  He has two different colors to choose from.  In how many different ways can Sam color the sides of the triangle?  (Two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)

 Mar 6, 2024
 #1
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There is color A and Color B.

Either there is:

3 sides color A 0 sides color B

3 sides color B 0 sides color A

2 sides color A 1 side color B

1 side color B 2 sides color A

Each of these has exactly one way of occuring, because they can always be rotated back to the same position

So there are 4 colorings

 Mar 7, 2024

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