There are five houses of different colors next to each other equally spaced on the same road. In each house lives a man of a different profession. • The blue house is adjacent to the mathematician’s and con-man’s houses. • The first house on the left is green. • The nurse lives immediately to the right of the mathematician. • The teacher lives halfway between the plumber’s house and the yellow house. • The nurse’s house is immediately to the right of the red house. Who lives in the white house? Fully explain your answer using sentences, and good mathematical logic.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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There are five houses of different colors next to each other equally spaced on the same road. In
each house lives a man of a different profession.
• The blue house is adjacent to the mathematician’s and con-man’s houses.
• The first house on the left is green.
• The nurse lives immediately to the right of the mathematician.
• The teacher lives halfway between the plumber’s house and the yellow house.
• The nurse’s house is immediately to the right of the red house.
Who lives in the white house? Fully explain your answer using sentences, and good
mathematical logic.

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