If the letters of the word ?rachit? are arranged in all
possible ways and these words are written
out as in a dictionary, what is the rank of the
word ?rachit?.

(a) 485
(b) 480
(c) 478
(d) 481

Answer Posted / rithish

arrange rachit in the alphabetical order then it will be
a,c,h,i,r,t
then consider the first word in rachit ...it is r
strike of it and count the number of words before it
a,c,h,i,t so there are 4 words
which is the coefficient of 5!
then go for "a"(as it is the second letter in the word )
..strike it off and count the number of words before it in
the arranged order as did earlier ..there will be zero
so 0 ,which is the coefficient of 4 !
and similarly consider all
the answer will be
4*5!+0+0+0+0+1=481....

Is This Answer Correct ?    34 Yes 12 No



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