Words are formed using all the letters of the word AGAIN ( with or without meaning). If the words are arranged in a dictionary, the 50th word would be

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GAAIN

NAAIG

NAAGI

IGAAN

answer is B.

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Detailed Solution

Let us arrange the letters of the word in alphabetical order.
AAGIN
The number of words with A as the first letter
A_ _ _ _
4! = 24
The number of words with G as the first letter
G_ _ _ _
Since A is repeated, the number of words are
4!2!1!1! = 12
The number of words with I as the first letter
I_ _ _ _
Since A is repeated, the number of words are
4!2!1! = 12
The total number of words formed when arranged according to dictionary with A, G and I as first letters are
24+12+12 = 48
The 49th word will start with the letter N
NAAGI
The 50 th word will be NAAIG.

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