CBSE Class 11-science Answered

In a dictionary the words at each stage are arranged in alphabetical order. In the problem we must therefore consider the words beginning with A,A,N,P,R,V in order. 'A' will occur in the first place as often as there are ways of arranging the remaining 5 letters all at time. 'A' will occur 5! times.

Therefore, A will occur 120 times. Since we need to find the 182^nd word, we need to take the next letter in the alphabetical order, that is ‘N’. Therefore, numbers of words starting with N are

Now 120 + 60 =180. Since, we need to find the 182^nd word; we need to take the next letter in the alphabetical order, which is P.

Therefore, 181^st word is ‘PAANRV’

And the 182^nd word in ‘PAANVR’