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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |