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 ____

Word is 'GOVIND' total words possible \(=6 !=720 \text { words }\) 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
\(=24 \text { words }\) G and second Letter I
\(\mathrm{G}\) and second Letter \(\mathrm{N}\)
Now words with G and next letter \(\mathrm{O}\) and IIIrd Letter D
Now words with \(\mathrm{G}\) and next letter \(\mathrm{O}\) and third Letter I.
Similarly,
Now, we have,
and
And then
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