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

Explanation

(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