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# code words

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Joined: 31 Dec 1969

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Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
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WE: Supply Chain Management (Energy and Utilities)

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19 Oct 2004, 11:31
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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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Manager
Joined: 18 Sep 2004
Posts: 150

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Location: Dallas, TX

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19 Oct 2004, 13:28
10P5/10P4... Too lazy to calculate :roll:

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Manager
Joined: 21 Aug 2004
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19 Oct 2004, 20:28
nzgmat wrote:
10P5/10P4... Too lazy to calculate

I thought the same but the answer is not in the choices given, maybe that is the probem

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Manager
Joined: 18 Sep 2004
Posts: 150

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Location: Dallas, TX

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19 Oct 2004, 20:42
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

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19 Oct 2004, 20:42
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