document.write( "Question 350590: if the letters of the word 'MOTHER'are written in all possible order and these words are written out as in dictionary ,find the rank of the word 'MOTHER'. \n" ); document.write( "
Algebra.Com's Answer #250815 by sudhanshu_kmr(1152)\"\" \"About 
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There are 6 letters and all are different.\r
\n" ); document.write( "\n" ); document.write( "In dictionary, words starting from E, H will come before word MOTHER.\r
\n" ); document.write( "\n" ); document.write( "so, total no. of words starting from E = 5!= 120
\n" ); document.write( " (we have to arrange 5 letters on five places)\r
\n" ); document.write( "\n" ); document.write( "similarly, no. of words starting from H = 5! = 120\r
\n" ); document.write( "\n" ); document.write( "now, first word starting with letter M will come..\r
\n" ); document.write( "\n" ); document.write( "similarly, no. of words starting with ME.... = 4!
\n" ); document.write( " no. of words starting with MH.... = 4!
\n" ); document.write( " now, words starting from MO will come
\n" ); document.write( " no. of words starting with MOE... =3!
\n" ); document.write( " no. of words starting with MOH... =3!
\n" ); document.write( " no. of words starting with MOR... =3!
\n" ); document.write( " now, words starting from MOT will come
\n" ); document.write( " no. of words starting with MOTE.. = 2!
\n" ); document.write( " then after words starting from MOTH will come and first word will MOTHER
\n" ); document.write( "
\n" ); document.write( "so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3!
\n" ); document.write( " = 120 +120 + 48 + 18
\n" ); document.write( " = 306\r
\n" ); document.write( "\n" ); document.write( "so, rank of MOTHER in dictionary = 307
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