The company Charmed, I'm Sure makes bracelets. Each bracelet has four charms, Apple, Banana, Cherry, and Fig (or {A,B,C,F} for short). The way these bracelets are made is by sending a line of charms into a machine, where they get attached to circular chains. There are 24 different orders in which a set of 4 charms might get fed into the machine. (Why?) Once the bracelets are complete, some of these 24 orders look the same. If we consider the equivalence relation b1 ∼ b2 when bracelets b1 and b2 look the same, how does this partition the set of 24 charm orderings?