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  4. Letters of the word 'GOVIND' are permuted and arranged as in a dictionary then the number of words that appear after the word 'GOVIND' is

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Q. Letters of the word 'GOVIND' are permuted and arranged as in a dictionary then the number of words that appear after the word 'GOVIND' is_______

AP EAMCETAP EAMCET 2020

Solution:

Word is 'GOVIND' total words possible $=6 !=720$ words
Now we find rank of word GOVIND,
Number of words starting with $D=5 !=120$ words
Number of words starting with $G$ and second letter $D$
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$=24$ words
$G$ and second Letter $I$
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$G$ and second Letter $N$
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Now words with $G$ and next letter $O$ and IIIrd Letter $D$
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Now words with $G$ and next letter $O$ and third Letter $I$.
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So, total words = rank
$=120+24 \times 3+6 \times 3+4=214$
th words
So, Number of words after GOVIND
$=720-214=506$ Words