Home
Class 12
MATHS
If the letters of the word are arranged ...

If the letters of the word are arranged as in dictionary, find the rank of the following words.(0) RAJU(ii) AIRTEL(ii) UMANG

Text Solution

Verified by Experts

(i) In a dictionary, the letters in alphabetical order are
A,J,R,U
`therefore`The first word is ARJU.
Number of words beginning with A=number of ways arranging J,R,U=3!=6
The next word begin with R and it is RAJU.
`therefore`Number of words before RAJU=12
`therefore`Rank of word RAJU=13.
(ii) The Letters in alphabetical order are A,G,M,N,U
The first word is AGMNU
Number of words beginning with A=4!=24
Number of words beginning with G=4!=24
Number of words beginning with M=4!=24
Number of words beginning with N=4!=24
Number of words beginning with UA=3!=6
Number of words beginning with UG=3!=6
Number of words beginning with UMAG=1!=1
Number of words beginning with UMANG=1
`therefore` Rank of the word
UMANG=24+24+24+24+6+6+1+1=110
Promotional Banner

Similar Questions

Explore conceptually related problems

If letters of the word are arranged as in dictionary, find the rank of the following words.(i) INDIA (ii) SURITI (ii) DOCOMO

If all the letters of the word 'AGAIN' be arranged as in a dictionary, then fiftieth word is

If the letters of the word are arranged as inn a dictionary. M and n are the rank of the words BULBUL and NANNU respectively, then the value of m-4n is

The letters of the word 'DELHI' are arranged in all possible ways as in a dictionary, the rank of the word 'DELHI' is

The letters of the word "MUMBAI" are arranged in all possible ways as in a dictionary, the rank of the word 'MUMBAI' is

The letters of the word 'MEERUT' are arranged in all possible ways as in a dictionary, then the rank of the word 'MEERUT' is

The letters of the word "KANPUR" are arranged in all possible ways as in a dictionary, the rank of the word 'KANPUR' from last is

The letters of the word "CHENNAI" are arranged in all possible ways as in a dictionary, then rank of the word "CHENNAI" from last is

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :

If the letters of the word 'RACHIT' are arranged in all possible ways as listed in dictionary. Then, what is the rank of the word 'RACHIT' ?