How many words can be formed with the letters of the word 'PATALIPUTRA'?

Select an option to attempt

1. A
   $\frac{11!}{2! \ 3!}$
2. B
   $\frac{11!}{2! \ 2! \ 3!}$
3. C
   $\frac{11!}{3! \ 1! \ 2!}$
4. D
   $\frac{11!}{3!}$