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 holes evenly spaced around the perimeter.
Again it can spin freely and there are no distinguishing marks
to differentiate one hole from any other.
In how many different ways can I put my 13 spices into the two racks?