Question

If the letterss of the word 'NAAGI' are arranged as in a dictionary then the rank of the given word is

• A. $23$
• B. $84$
• C. $49$
• D. $48$

Answer 1

Answer: (C)

$49$

In a dictionary, letters in alphabetical order are $A,A,G,I,N$

so the first word will be $AAGIN$

Number of words beginning with $A=$ Number of ways arranging $A,G,I,N$$=4!=24$

Number of words beginning with $G=\frac{4!}{2!}=12$

Number of words beginning with $I=\frac{4!}{2!}=12$

Next word will be $NAAGI$

No. of words before $NAAGI$ $=24+12+12=48$

So rank of the word $NAAGI$ is $49$.