My work:

In how many different ways can the top eight new indie bands be ranked on a top eight list?

P[sub:16992ywf]8[/sub:16992ywf][sub:16992ywf],[/sub:16992ywf][sub:16992ywf]8[/sub:16992ywf] = 8!/(8-8)! = 8!/0! = 8*7*6*5*4*3*2*1/1 = 40,320

The top eight new indie bands can be ranked on a top eight list 40,320 different ways.

In how many ways can the awards be given out?

8_C_4 = 8!/(8-4)! = 8!/4! = 8*7*6*5*4!/4! = 1,680

The awards can be given out 1,680 different ways.

Is this correct?