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Solution


Q.

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at 315th position in this arrangement is                [2024]
1 NRAPGU  
2 NRAGPU  
3 NRAPUG  
4 NRAGUP  

Ans.

(1)

Letter in the word NAGPUR = 6

If we fix A _ _ _ _ _

Number of words start with A = 5! = 120

If we fix G _ _ _ _ _

Number of words start with G = 5! = 120

If we fix N A _ _ _ _

Number of words start with NA = 4! = 24

If we fix N G _ _ _ _

Number of words start with NG = 4! = 24

If we fix N P _ _ _ _

Number of words start with NP = 4! = 24

Next word i.e., 313th word in dictionary will be NRAGPU, 314th word will be NRAGUP, 315th word will be NRAPGU.