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

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

Text Solution

Verified by Experts

(i) The letter in alphabetical order are A,D,I,I,N
`therefore`The first word is ADIIN
Number of words beginning with `A=(4!)/(2!)=12`
Number of words beginning with `D=(4!)/(2!)=12`
Number of words beginning with IA=3!=6
Number of words beginning with ID=3!=6
Number of words beginning with II=3!=6
Number of words beginning with INA=2!=2
Number of words beginning with INDA=1!=1
Number of words beginning with INDIA=1
`therefore`Rank of the word INDIA
=12+12+6+6+6+2+1+1=46
The letters inn alphabetical order are I,I,R,S,T,U
`therefore`The first word is IIRSTU
Number of words beginning with I=5!=120
gt Number of words beginning with R=`(5!)/(2!)=60`
Number of words beginning with SI=4!=24
Number of words beginning with SR=`(4!)/(2!)=12`
Number of words beginning with ST`=(4!)/(2!)=12`
Number of words beginning with SUI=3!=6
Number of words beginning with SURI=1!=1
Number of words beginning with SURITI=1
`therefore`Rank of the word SURITI
=120+60+24+12+12+6+1+1=236
Promotional Banner

Similar Questions

Explore conceptually related problems

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 inn 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 '' RACI II T '' are arranged in all possible ways and these words written out as in a dictionary , then the rank of the word ' RACHIT' is :

If the letters of the word ' SACHIN ' are arranged in all possible ways and these words are written out as in dictionary, then the word ' SACHIN ' appears at serial number :