Question 452080
ok we know that one of the cd's is my favorite and is always going to be between the chosen CD'S.
so it brings our CD player to 5 open spots because one is already occupied .
and we have 9 CD'S now .
so the first open slot has a chance of any CD of the 9 to enter it.
lets say we put one of the 9 in, the second slot has a chance of any CD of the 8 to fill it and so on till we fill the 5 slots,
so the answer of the possible ways to fill the CD player is :

1x9x8x7x6x5=15120 which is answer (D)