We make a child's bracelet by symmetrically placing four beads about a circular wire. The colors of

Question:

We make a child's bracelet by symmetrically placing four beads about a circular wire. The colors of the beads are red, white, blue, and green, and there are at least four beads of each color,
(a) How many distinct bracelets can we make in this way, if the bracelets can be rotated but not reflected?
(b) Answer part (a) if the bracelets can be rotated and reflected.