Answer
$9_{{P}{_{5}}}$ = 15,120
Work Step by Step
Total number of bands = 9
Number of bands for which there is enough time = 5
Number of bands that the five can perform out of 9 = $9_{{P}{_{5}}}$ = $\frac{9!}{(9 - 5)! }$ = $\frac{9!}{4! }$
= $\frac{9\times8\times7\times6\times5\times4!}{4! }$
= $9\times8\times7\times6\times5$
= 15120
