Question

You are creating a 4 song-play list from a library of 115 songs for your workout. How many different playlists can be created if the order in which the songs play is important to you?

Answer 1

165920160 ways

Explanation:

Number of songs in library (n) = 115

Number of songs in Playlist (r) = 4

Since the order is important:

nPr = n! / (n-r)!

115P4 = 115! / (115 - 4)! = 115! / 111! = (115 * 114 * 113 * 112)

= 165920160 ways