Answer:
In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.
So there are a total of 11 animals (5+6).
The first animal can be placed in 11 places.
The second animal can be placed in 10 places.
The third animal can be placed in 9 places.
.
.
.
The eleventh animal can be placed in 1 place. (the last spot, whatever that is)
So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.
Let me know if this helps!