From a group of 2 cats, 3 dogs, and 10 pigs we want to choose a committee of 6 animals. In the group, Joe Cat, Billy Dog and Samuel P*g dislike each other and will not work in the same group. How many compatible committees are there
Assuming all the animals are classed as individuals it really makes no difference what species that they are.
There are 15 animals. 12 of which can be on a committee with any other one.
So I have split it up into 6 from the non-choosy ones + (a fussy one*5from the non-choosy ones) *3
12C6 + 3*12C5 = 3300 committies