Question

All letters of the word ‘‘AGAIN’’ are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary then the 50th word is : 

(a) INAGA 

(b) IAANG 

(c) NAAGI 

(d) NAAIG

Answer 1

Correct option (d) NAAIG

Explanation:

Starting with letter A, and arranging the other 4 letters, there are 4 ! = 24 words. There are the first 24 words. Then starting with G, and arranging A, A, I and N in different ways, there are

Next, the 37^th word starts with I. There are 12 words starting with I. This accounts upto the 48^th word. The 49th word is NAAGI. The 50^th word is NAAIG.