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Coloring. Consider the infinite collection of circles below:
Suppose you have two markers, one red and one blue, and you color each circle one of the two colors. How many different ways can you color the circles? Do you think that the set of all possible circle colorings has the same cardinality as the set of all natural numbers? This question is tricky; just make a guess and explain why you guessed what you guessed (you need not rigorously justify your answer). You may first want to answer the question for just these four circles as a warm-up. We’ll return to this Mindscape later.
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Chapter 3 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
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- Find the cardinality of the given sets. A. {b} B. {0,{0}} C. {4,5,6,7,8,9}arrow_forwardDoes the set span R3?arrow_forwardVenn diagrams and Cardinality In a survey of students, it was found that 64 students liked Algebra; 59 students liked Trigonometry; 61 students liked Calculus; 23 students liked Algebra and Trigonometry; 21 students liked Algebra and Calculus; 32 students liked Trigonometry and Calculus; 9 liked all three; and 40 students did not like Math. How many students were surveyed?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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