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

Guest Sep 14, 2021

#1**+1 **

__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

Melody Sep 14, 2021