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