how many ways can you arrange the letters in professor

Question

anonymous · Answer

nPr = $$n! \over (n - r)!$$
9P9

kropot72 · Answer

$$\frac{9!}{2!2!2!}$$

maheshmeghwal9 · Answer

$$\frac{9\times8\times7\times6\times5\times4\times3\times2\times1}{2\times1*2\times1*2\times 1}$$

lgbasallote · Answer

PROFESSOR has 9 lettters..O repeats twice, S repeats twice and R repeats twice...therefore it is $$\frac{9!}{2!2!2!}$$

lgbasallote · Answer

understand how to get it @bella2009 ??

maheshmeghwal9 · Answer

u get 45360

kropot72 · Answer

The 9! ways of arranging the letters in professor have to be divided by 2! * 2! * 2! because having fixed the letters of the non-repeated letters, the r's may be arranged in 2! ways, the o's arranged in 2! ways and the s's in 2! ways without making a different word.

lgbasallote · Answer

btw..when asking these types of questions please state the word in all capitals..it's a standard ^_^

anonymous · Answer

Ok, I get it now. Sry about the mis-type. Thank you