Separate the Diana Kroll (DK) albums from the others. There are 10 ways (5*4/2) of selecting two DK albums out of 5. If the DK albums are represented by the letters A to E then the combinations are:
AB, AC, AD, AE, BC, BD, BE, CD, CE, DE.
If all the other albums are represented by letters a to k, then DK combined with other artistes is represented by ABab, ABac,...,ABjk, ACab, ACac,...,...,DEjk.
There are 11*10/2=55 ways of selecting two more albums out of 11. So combining these we get 10*55=550 ways.
There are 5 ways of selecting 4 out 5 DK albums:
ABCD, ABCE, ABDE, ACDE, BCDE, making the total so far 555.
There are 10 ways of selecting 3 DK albums out of 5:
ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE. If we combine these with one album by a different artiste:
ABCa,...,ABCk,ABDa,...,...CDEk,
we get 10*11=110 ways, making 665.