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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

 Sep 14, 2021
 #1
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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

 Sep 14, 2021

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