Zhang has a collection of 12 beads, each of a different color.

(a) How many ways can Zhang arrange the beads in one row?

(b) Zhang decides to arrange the beads in a circle on a table and considers two such arrangements to be the same if one can be rotated into another. How many distinct arrangements are possible?

(c) Zhang changes his mind and instead strings the beads together to make a necklace. Two necklaces are identical if some combination of rotating or flipping one necklace yields the other. How many distinct arrangements are possible?