SOLUTION: your cd player can hold 6 cds you have 10cds to choose from, one of which is your favorite and is always in your player. how many ways can the player be filled if order does not m

Question 452080: your cd player can hold 6 cds you have 10cds to choose from, one of which is your favorite and is always in your player. how many ways can the player be filled if order does not matter ?
A 126 B 210 C 720 D 15,120 E 151,200
Answer by AHBK(13) (Show Source): You can put this solution on YOUR website!
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)
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