Q. 24

# If the letters of

Answer :

Given the word MOTHER.

Arranging the permutations of the letters of the word MOTHER in a dictionary:

To find: Rank of word MOTHER in dictionary.

First comes, words starting from letter E = 5! (5 letters no repetation) = 120

words starting from letter H = 5! (5 letters no repetation) = 120

words starting from ME = 4! (4 letters no repetation) = 24

words starting from MH = 4! (4 letters no repetation) = 24

words starting from MOE = 3! (3 letters no repetation) = 6

words starting from MOH = 3! (3 letters no repetation) = 6

words starting from MOR = 3! (3 letters no repetation) = 6

words starting from MOTE = 2! (2 letters no repetation) = 2

words starting from MOTH:

MOTHER = 1

Rank of the word MOTHER = 120 + 120 + 24 + 24 + 6 + 6 + 6 + 2 + 1

= 309

Hence the rank of the word MOTHER in arranging the letters of MOTHER in a dictionary among its permutations is 309.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Four letters E, KRD Sharma - Mathematics

. There are 6 iteRD Sharma - Mathematics

How many permutatRD Sharma - Mathematics

Find the total nuRD Sharma - Mathematics

In how many ways RD Sharma - Mathematics

From among the 36RD Sharma - Mathematics

How many differenRD Sharma - Mathematics

How many three-diRD Sharma - Mathematics

In how many ways RD Sharma - Mathematics

How many three-diRD Sharma - Mathematics