Answer:
40320
Step-by-step explanation:
the first song on the list could be 8 possible songs;
and the second song on the list could be 7 possible songs after the first one was set;
the third song on the list could be 6 possible songs after the first and second songs were set;;
the fourth song on the list could be 5 possible songs after the first ,second and third songs were set;;
the fifth song on the list could be 4 possible songs after four songs were set;
the sixth song on the list could be 3 possible songs after five songs were set;
the seventh song on the list could be 2 possible songs after six songs were set;
the eighth song on the list could be 1 possible songs after seven songs were set.
so THERE ARE 8X7X6X5X4X3X2X1 DIFFERENT SETS