Question

If the word formed by using the letter of the word ${}^{\prime }AGAI{N}^{\prime }$ are arranged in the form of dictionary then $50$ $th$ word is :

• A. NAAGl
• B. NAAIG
• C. NAGAI
• D. NAIAG

Answer 1

The correct option is B NAAIG

Alphabetical arrangement$\Rightarrow$ AAGIN.

Words starting from A$\Rightarrow 4!=24$

Words starting with G$\Rightarrow \frac{4!}{2}=12$

Words starting with I$\Rightarrow \frac{4!}{2}=12$

Hence ${49}^{th}$ word is NAAGI and ${50}^{th}$ word is NAAIG.