Suppose that I have 13 different spices in matching canisters and two spice racks.
The first spice rack is a square that holds 8 canisters. It has one hole in each corner and one hole in the middle of each side for spices. The whole square freely rotates and there are no distinguishing marks anywhere to differentiate one side or corner from another.
The second rack is a circle with 5 wholes evenly spaced around the perimeter. Again it can spin freely and there are no distinguishing marks to differentiate one whole from any other.
In how many different ways can I put my 13 spices into the two racks?
I need an explanation how to get to this answer? Thank you for the much needed help