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Ps project gmat dj

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Manager
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Ps project gmat dj [#permalink] New post 22 Nov 2005, 15:40
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:) hi all
Mike, a DJ at a high-school radio station, needs to play two or three more songs before the end of the school dance. If each composition must be selected from a list of the 10 most popular songs of the year, how many song sequences are available for the remainder of the dance?

(A) 6
(B) 90
(C) 120
(D) 720
(E) 810

plz explain your work...
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 [#permalink] New post 22 Nov 2005, 19:23
I'm gonna say E. 810

Admittedly I first tried it as a combination problem but my answer wasn't there. However, a sequence of songs tells me order matters.

so he can have a sequence of either 2 songs or 3 songs

2 songs: 10!/8! = 90

3 songs: 10!/7! = 720

then I added them together since it's either 2 OR 3 songs to get 810
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 [#permalink] New post 22 Nov 2005, 19:44
Exact same strategy as Jennifer because olrder matters. :good 10P2+10P3= 810

(E)
  [#permalink] 22 Nov 2005, 19:44
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