If the letters of the word ‘PRANAV’ are arranged as in dictionary in all possible ways, then what will be 182nd word.

As we know in a dictionary the letters are arranged in alphabetical order.

So, letters will be arranged in A, A, N, P, R, V order.

Now first words will start with A.

If a word starts with A, then the remaining letters can be arranged in 5! = 5× 4× 3× 2× 1 = 120 ways

Now we look at next letter that is N.

Words which start with N

= 60 ways

Now total words = 120+60

= 180

Moving on next letter words will start with P.

Arranging the words alphabetically we get,

181^st word = PAANRV

We start jumbling the words from the last, so

182^nd word = PAANVR

Hence 182^nd word is PAANVR.