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If the letter of the word 'Pranav' are arranged as in dictionary in all possible way then what will be its 182 nd word?

Asked by SHRUTI GUPTA 19th October 2013, 5:48 PM
Answered by Expert

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 182nd 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 182nd word; we need to take the next letter in the alphabetical order, which is P.

Therefore, 181st word is PAANRV

And the 182nd word in PAANVR

Answered by Expert 20th October 2013, 10:41 AM
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