Suppose a shop owner wants to decorate her front window for the upcoming holiday. The front window frame has 24 clips along the top to which decorations may be attached. The shop owner found boxes in the basement with two dozen (24) holiday decorations. Some boxes contain dozens of silver stars and some boxes contain stars of various colors (red, blue, gold, and purple). All the stars are the same size and weight, regardless of color. a. In how many different ways can the shop owner arrange 24-star decorations attached to the 24 clips along the top of the front window if she hangs only silver stars? (You can leave the result in symbolic form.) b. In how many different ways can the shop owner arrange 24-star decorations attached to the 24 clips along the top of the front window - if she randomly hangs 9 red, 7 blue, 5 gold, and 3 purple stars? (You can leave the result in symbolic form.)