Answer
Number of different ways to arrange the songs $13_{{P}{_{7}}}$ = 8,648,640
Work Step by Step
Total number of songs = 13
Number of songs to play = 7
Number of different ways to arrange the songs $13_{{P}{_{7}}}$ = $\frac{13!}{(13 - 7)! }$ = $\frac{13!}{6! }$
= $\frac{13\times12\times11\times10\times9\times8\times7\times6!}{6! }$ = $13\times12\times11\times10\times9\times8\times7$ = 8,648,640
