Question

How many 9-letter words can be made from the letters the words '$COMMITTEE$' ?

• A. $\frac{9!}{(2!{)}^2}$
• B. $\frac{9!}{(2!{)}^3}$
• C. $\frac{9!}{(2!)}$
• D. $9!$

Answer 1

Answer: (B)

$\frac{9!}{(2!{)}^3}$

Total number of letters: $9$
As there are two $M$s, two $T$s and two $E$s, total number of words:
$\frac{9!}{2!\cdot 2!\cdot 2!}=\frac{9!}{{(2!)}^3}$