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4 LETTER COMBINATIONS

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mdfrahim
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4 LETTER COMBINATIONS [#permalink] New post   04 Jul 2009, 15:42
00:00
A
B
C
D
E

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Find the number of four-letter combinations of the letters in the words COLLEGE.

18
28
120
13
94



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Re: 4 LETTER COMBINATIONS [#permalink] New post   04 Jul 2009, 16:15
The answer is 18. Check the link below for an explanation.

https://mathforum.org/library/drmath/view/56204.html

\m/
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Re: 4 LETTER COMBINATIONS [#permalink] New post   04 Jul 2009, 18:45
I got this question from that link only and could not understand the explanation.
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Re: 4 LETTER COMBINATIONS [#permalink] New post   04 Jul 2009, 20:34
mdfrahim wrote:
I got this question from that link only and could not understand the explanation.



That makes two of us :?:
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Re: 4 LETTER COMBINATIONS [#permalink] New post   05 Jul 2009, 02:36
zeppelin wrote:
mdfrahim wrote:
I got this question from that link only and could not understand the explanation.



That makes two of us :?:


Nice brain teaser but this is not reflective of a gmat question.

but using GMAT concepts

let us first find the permutation of 4 letters from the word college = 7!/(7-4)! = 7!/3! = 840. So there are 840 different permutations.

From these combinations we need to discount half of the occurences where both L's and both E's occur. I'm a bit stumped here.

If someone can shed light on this train of thought that would be kind.

che,
dg



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Re: 4 LETTER COMBINATIONS [#permalink]
05 Jul 2009, 02:36
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