Q. 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) NAAGI
B) IAANG
C) NAAIG
D) INAGA
Explanation
(c)
The number of words begin with A=4!=24
The number of words begin with $G = \frac{4!}{2!} = 12$
The number of words begin with $I = \frac{4!}{2!} = 12$
So, 49th and 50th words begin with N and in dictionary order 49th is NAAGI and 50th will be NAAIG
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.