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# If a code word is defined to be a sequence of different

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VP
Joined: 03 Apr 2007
Posts: 1340

Kudos [?]: 830 [0], given: 10

If a code word is defined to be a sequence of different [#permalink]

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01 Jun 2008, 13:22
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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

Kudos [?]: 830 [0], given: 10

Manager
Joined: 10 Mar 2008
Posts: 67

Kudos [?]: 36 [0], given: 0

Re: PS- letters [#permalink]

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01 Jun 2008, 21:57
gmatnub wrote:
Can the letters be repeated?

a sequence of different letters

Kudos [?]: 36 [0], given: 0

Manager
Joined: 28 May 2008
Posts: 93

Kudos [?]: 10 [0], given: 0

Re: PS- letters [#permalink]

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01 Jun 2008, 23:43
goalsnr wrote:
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

Total number of 5 letter code words would be 10*9*8*7*6
and total no of 4 letter words would be 10*9*8*7
hence the ratio is 6:1

Kudos [?]: 10 [0], given: 0

VP
Joined: 03 Apr 2007
Posts: 1340

Kudos [?]: 830 [0], given: 10

Re: PS- letters [#permalink]

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02 Jun 2008, 19:20
gmatnub wrote:
Can the letters be repeated?

I think letters can be repeated but each code must be unique

Kudos [?]: 830 [0], given: 10

Re: PS- letters   [#permalink] 02 Jun 2008, 19:20
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# If a code word is defined to be a sequence of different

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