Answer:
1320
Step-by-step explanation:
Total number of songs = 12
Number of songs required to arrange in a play list = 3
It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is
[tex]Ways=^{12}P_{3}[/tex]
[tex]Ways=\dfrac{12!}{(12-3)!}[/tex] [tex][\because ^nP_r=\dfrac{n!}{(n-r)!}][/tex]
[tex]Ways=\dfrac{12\times 11\times 10\times 9!}{9!}[/tex]
[tex]Ways=1320[/tex]
Therefore, the required number of ways is 1320.
