- Messages
- 924
- Reaction score
- 1,096
- Points
- 153
6 pop, 3 jazz, 2 classical.
So we group jazz together:
PPPPPP[JJJ]CC
The pops and classics can move around but jazz has to stick together (but can move as a group).
So there are 9 elements all together (including Jazz block). (these can be arranged 9! ways)
Note that each of the J's are different from one another. (same goes for P's and C's)
So within the [JJJ] block, the three CD's can move around to form different arrangements. These can permute 3! ways.
So answer = 9! * 3! = 2,177,280