Question

You download eight songs onto a music player. If you play three of the songs using the random shuffle option, how many ways can the sequence of songs be played?

Answer 1

Every time you play a song 8 different songs can be played, since you do this 3 times:
$8 \times 8 \times 8 = 512$
Or, an easier way to write this if play them many times:
${8}^{3} = 512$
In which the 8 is how many options and the 3 how many times you play.