Answered: In a survey of 111 pet owners, 16 said…

In a survey of 111 pet owners, 16 said they own a dog, and 54 said they own a cat. 8 said they own both a dog and a cat. How many owned neither a cat nor a dog?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a survey of 111 pet owners, 16 said they own a dog, and
54 said they own a cat. 8 said they own both a dog and a
cat. How many owned neither a cat nor a dog?

Expert Solution

Step 1

The total number of pet owner is $n = 111$ .

Let D denotes the set that contains dog owners and C denotes the set that contains cat owners. Given that $n (D) = 16, n (C) = 54, n (D \cap C) = 8$ .

If A is a set, then n(A) denotes the number of elements of the set A.

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