At a music festival, there are six bands scheduled to play, numbered 1 through 6. a. How many different ways can these bands be arranged to perform? b. If band 4 is performing first and band 2 last, then how many ways can their appearances be scheduled? a. There are different ways to arrange the bands. (Simplify your answer.) b. If band 4 is performing first and band 2 last, there are (Simplify your answer.) different ways to arrange the bands.