How to count these quick
In a regular decagon, the sides are to be colored with five different colors, so that sides are diametrically opposite have the same color. (Not all five colors need to be used.) One possible coloring is shown below.
In how many different ways can the sides of the decagon be colored? (Two colorings are considered identical if one can be rotated to form the other.)
wouldnt this just be 4!