Practice - Introduction to Cardinality
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Practice Questions
Test your understanding with targeted questions
What does cardinality refer to?
💡 Hint: Think about how we count elements in a bag.
If set A has 3 elements, how many elements are in its power set?
💡 Hint: Remember the formula for the power set.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the cardinality relationship established by Cantor's theorem?
💡 Hint: Remember the definition of the power set.
True or False: The power set of a finite set always contains 2^n elements, where n is the number of elements in that set.
💡 Hint: Think about the counting of subsets.
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Challenge Problems
Push your limits with advanced challenges
Construct an example of a finite set and calculate its power set, then identify its cardinality.
💡 Hint: List all possible subsets to ensure you haven't missed any.
Explain the significance of Cantor's proof on the concept of different sizes of infinity. Provide a real-world analogy.
💡 Hint: Consider how different types of numbers can fill up the number line.
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Reference links
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