SOLUTION: You have 5 songs by Adele and 3 by Lady Gaga and wish to make a playlist. (A playlist is just an ordering of your 8 songs. How many playlists are possible in which no two Lady G

Question 1068793: You have 5 songs by Adele and 3 by Lady Gaga and wish to make a playlist. (A playlist is just an ordering of your 8 songs.
How many playlists are possible in which no two Lady Gaga songs are consecutive? (Hint:
Consider choosing the Adele playlist first, then counting the ways Gaga songs could be inserted.)

Answer by trsomas23@gmail.com(17) (Show Source): You can put this solution on YOUR website!
The 5 songs of Adele can be arranged in 5! = 120 ways
In any arrangement of the 5 songs of Adele, there are 6 slots left: 4 in between, 1 in the beginning and 1 at the end.
If Lady Gaga's songs are inserted in these 6 spaces, then no two Lady Gaga's songs are consecutive.
3 songs of Lady Gaga can be arranged in 6 slots in
6P3 = 6!/(6-3)! = 6!/3! = 120 ways
Total number of ways = 120 x 120 = 14400 (Answer)
Email: trsomas23@gmail.com
Skype: sahay.avinash
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