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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.)

 Feb 15, 2024
 #1
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We set the 2 colors as x and y. You can have xxx,yyy,xxy,yyx. Notice that all other combinations of xxy and yyx can be repeated by just rotating the triangle.

 

The final answer will be \(\fbox{4}\)

 Feb 15, 2024

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