The 9! ways of arranging the letters in ZOOKEEPER have to be divided by 2! and 3! the reason being that having fixed the positions of the non-repeated letters, the O's may be arranged in 2! ways and the E's in 3! ways without making a different word:
[tex]\frac{9!}{2!3!}=30240[/tex]
The answer is: 30,240 ways.
