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