Use the Principle of Inclusion and Exclusion to solve the following problem. Show your work and define the appropriate sets. Customers at a restaurant all tried the same meal: an egg sandwich, a side of hash browns, and a short stack of pancakes. After they had eaten, customers were asked whether or not they liked each of the parts of the meal. 73 said that they liked the egg sandwich, 28 said that they liked the hash browns, and 47 said that they liked the pancakes. 26 liked both the egg sandwich and hash browns, 21 liked the hash browns and pancakes, and 6 liked the sandwich and pancakes. If 98 customers liked at least one of the parts of the meal, how many of them liked all three parts of the meal?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9.  Use the Principle of Inclusion and Exclusion to solve the following problem. Show your work and define the appropriate sets.

Customers at a restaurant all tried the same meal: an egg sandwich, a side of hash browns, and a short stack of pancakes. After they had eaten, customers were asked whether or not they liked each of the parts of the meal. 73 said that they liked the egg sandwich, 28 said that they liked the hash browns, and 47 said that they liked the pancakes. 26 liked both the egg sandwich and hash browns, 21 liked the hash browns and pancakes, and 6 liked the sandwich and pancakes. If 98 customers liked at least one of the parts of the meal, how many of them liked all three parts of the meal?

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