Question

Find the rank of word $NAVEEN$ if all words that can be formed using the letters are arranged in alphabetical order.

Answer 1

$A\_\_\_\_\_=\frac{5!}{2!2!}$ words

$E\_\_\_\_\_=\frac{5!}{2!}$ words

$NAE\_\_\_=3!$ words

$NAN\_\_\_=\frac{3!}{2!}$ words

$NAVEEN=1$ word

So, Rank $=\frac{5!}{2!2!}+\frac{5!}{3!}+3!+\frac{3!}{2!}+1$

Rank $=30+20+6+3+1=60$