SOLUTION: Belmont Records sends a disk jockey 11 new CD releases for possible use. In how many ways can the disk jockey select no more than 9 CDs?

Question 1206058: Belmont Records sends a disk jockey 11 new CD releases for possible use. In how many ways can the disk jockey select no more than 9 CDs?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Total number of ways of selecting any number of the 11: 2^11 = 2048.

Number of ways of selecting all 11: 11 choose 11 = 11 choose 0 = 1.
Number of ways of selecting 10 of the 11: 11 choose 10 = 11 choose 1 = 11.

Number of ways of selecting no more than 9 of the 11: 2048-1-11 = 2036.

ANSWER: 2036

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