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The exercise is a puzzle that can be solved by | Ch 1.2 - 38E

Problem 38E Chapter 1.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 38E

The exercise is a puzzle that can be solved by translating Statements into logical expressions and reasoning from these expressions using truth tables.

Solve this famous logic puzzle, attributed to Albert Einstein, and known as the zebra puzzle. Five men with different nationalities and with different jobs live in consecutive houses on a street. These houses are painted different colors. The men have different pets and have different favorite drinks. Determine who owns a zebra and whose favorite drink is mineral water (which is one of the favorite drinks) given these clues: The Englishman lives in the red house. The Spaniard owns a dog. The Japanese man is a painter. The Italian drinks tea. The Norwegian lives in the first house on the left the green house is immediately to the right of the white one. The photographer breeds snails. The diplomat lives in the yellow house. Milk is drunk in the middle house. The owner of the green house drinks coffee. The Norwegian’s house is next to the blue one. The violinist drinks orange juice. The fox is in a house next to that of the physician. The horse is in a house next to that of the diplomat. [Hint: Make a table where the rows represent the men and columns represent the color of their houses, their jobs, their pets, and their favorite drinks and use logical reasoning to determine the correct entries in the table.

Step-by-Step Solution:

Step 1:

In this problem we have to solve the given puzzle and we have to make a table where rows represent the men and columns represent the color of their houses , their jobs , their pets , and their favorite drinks.

Step 2:

We given five men  with  different nationalities and with different jobs live in consecutive houses on a street. These houses are painted different colors .

And we given the men have different pets and have different favorite drinks and we given the following hints :

The englishman lives in a red house  The spaniard owns a dogThe japanese man is a painterThe italian drinks tea The norwegian lives in the first house on the leftThe green house immediately to the right of the white oneThe photographer breeds snailsThe diplomat lives in the yellow houseMilk is drunk in the middle house The owner of the green house drinks coffee The norwegians house is next to the blue oneThe violinist drinks orange juice The fox is in a house that is next to that of the physicianThe horse is in a house next to that of the diplomat

Step 3 of 3

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