Question

Number of different permutation, each containing all letters of the word "STATESMAN" is

• A. $90720$
• B. $45360$
• C. $22680$
• D. None of these

Answer 1

The correct option is B $45360$

STATESMAN

.

total no of letter =$9$

$s=2$

$t=2$

$a=2$

= permutation = $=\frac{9!}{2!\times 2!\times 2!}=9\times 7\times 6\times 5\times 4\times 3\times 2\times 1=63\times 720=45360optionB$