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If the letters of the word 'MOTHER' are written in all possible order and the words and these words are written our as in a dictionary find the rank of the word 'MOTHER'???

Posted by Piyush Kumar 6 years, 5 months ago

CBSE > Class 11 > Mathematics

1 answers

Deepti Choudhary 6 years, 5 months ago

Number of words starting with E = 5! = 120 Number of words starting with H = 5! = 120 Number of words starting with M = 5! = 120, but one of these words is MOTHER. Now, number of words with ME = 4! = 24 Number of words with MH = 4! = 24 Number of words with MO = 4! = 24, but one of these words is MOTHER. Now, number of words with MOE = 3! = 6 Number of words with MOH = 3! = 6 Number of words with MOR = 3! = 6 Number of words with MOT = 3! = 6, but one of these words is MOTHER. The first word beginning with MOT is MOTEHR. The second word is MOTERH. The third word is MOTHER. Therefore, rank of MOTHER = 2(120) + 2(24) + 3(6) + 3 = 309

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CBSE > Class 11 > Mathematics