Question

At the pet owner’s meeting, there are 20 people who own dog, and 35 people who own cat and 9 people own goldfish. Some people own both cat and dog and some people own both gold fish and cat. No dog owners own goldfish. There are twice as many people who own both goldfish and cat than people who own both dog and cat. Suppose a total of 52 people are at the meeting. Use C for the set of cat owners, D for the set of dog owners and G for the set of goldfish owners. Answer the following questions and show your work.

(a) (3 points)How many people own both cat and dog?

(b) (3 points) A dog/cat/gold fish owner committee of 4 people is to be formed. Out of those 4 people, 2 people should own both dog and cat and 2 people should own both cat and goldfish. In how many ways can this committee be selected?

Answer 1

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