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MOTHER arranged

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by sanju09 » Tue Feb 02, 2010 1:52 am
What would be the serial number of the word MOTHER in a dictionary consisting of words formed by letters in MOTHER arranged in an alphabetical order?
(A) 307
(B) 308
(C) 309
(D) 312
(E) 315
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by ajith » Tue Feb 02, 2010 2:09 am
sanju09 wrote:What would be the serial number of the word MOTHER in a dictionary consisting of words formed by letters in MOTHER arranged in an alphabetical order?
(A) 307
(B) 308
(C) 309
(D) 312
(E) 315
There are 6! words possible with the letter M O T H E R
Of which 120 are starting with E
and 120 are startung with H
Now thr are 24 starting with ME
24 with MH

Thr are 6 starting with MOE
6 starting with MOH
6 starting with MOR

there are 2 starting with MOTE
next word is MOTHER

so it is 240+48+18+2+1 = 309th word
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