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# How many different four letter words can be formed (the

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Director
Joined: 05 Jan 2008
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How many different four letter words can be formed (the [#permalink]  25 Apr 2008, 10:30
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How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?

1. 59
2.11!/2!*2!*2!
3. 56
4. 23
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Director
Joined: 23 Sep 2007
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Re: PS: Permutation [#permalink]  25 Apr 2008, 11:48
are the letters replaceable once used?
Senior Manager
Joined: 19 Apr 2008
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Re: PS: Permutation [#permalink]  26 Apr 2008, 20:08
1
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It took me 15 minutes to solve this and I don't even know if answer is correct , is this GMAT question??

anyways my answer is 59 ( don't know if it is correct)

I got 3 +8*7 = 59

MEDITERRANEAN = 13 letters

2 places are given so we have 11 letters to choose from for 2nd and 3rd position

Now 2 possibilities either these two letters are same or they are different

if they are same number of way we can select is 3 ( since E=3 , A=2 , N=2)
if they are different number of ways we can select letters is 8*7 =56 (E=3, M=1, D=1,I=1,T=1,R=2 ,A=2,N=2 )

so total number 56+3 =59
Director
Joined: 06 Jan 2008
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Re: PS: Permutation [#permalink]  27 Apr 2008, 09:49
rpmodi wrote:
It took me 15 minutes to solve this and I don't even know if answer is correct , is this GMAT question??

anyways my answer is 59 ( don't know if it is correct)

I got 3 +8*7 = 59

MEDITERRANEAN = 13 letters

2 places are given so we have 11 letters to choose from for 2nd and 3rd position

Now 2 possibilities either these two letters are same or they are different

if they are same number of way we can select is 3 ( since E=3 , A=2 , N=2)
if they are different number of ways we can select letters is 8*7 =56 (E=3, M=1, D=1,I=1,T=1,R=2 ,A=2,N=2 )

so total number 56+3 =59

nice explanation! Thanks
Agree 59.
Good question. +1 to both
Re: PS: Permutation   [#permalink] 27 Apr 2008, 09:49
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