At a music festival, there are

five

bands scheduled to play, numbered 1 through

5.

a. How many different ways can these bands be arranged to perform?

b. If band

1

is performing first and band

4

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

1

is performing first and band

4

last, there are

enter your response here

different ways to arrange the bands.

(Simplify your answer.)