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code words

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Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GPA: 3.64
WE: Accounting (Accounting)
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code words [#permalink] New post 19 Oct 2004, 10:31
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A
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D
E

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If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?

A. 5 to 4
B. 3 to 2
C. 2 to 1
D. 5 to 1
E. 6 to 1
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 [#permalink] New post 19 Oct 2004, 12:28
10P5/10P4... Too lazy to calculate :roll:
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 [#permalink] New post 19 Oct 2004, 19:28
nzgmat wrote:
10P5/10P4... Too lazy to calculate :roll:


I thought the same but the answer is not in the choices given, maybe that is the probem
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 [#permalink] New post 19 Oct 2004, 19:42
I think the answer is E

10P5 = (10 x 9 x 8 x 7 x 6)
------ -----------------------
10P4 = (10 x 9 x 8 x 7)

(10 X 9 X 8 X 7) cancel out leaving us with 6/1

So the ratio is 6 to 1
  [#permalink] 19 Oct 2004, 19:42
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