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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define cardinality.
💡 Hint: Think about how we measure the size of a collection.
Question 2
Easy
What is an injective mapping?
💡 Hint: Consider how a one-to-one relationship works.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does cardinality measure?
- The size of a set
- The total number of distinct numbers
- The frequency of elements in a set
💡 Hint: Think about how we define the overall count of items.
Question 2
True or False: An injective mapping can map two different inputs to the same output.
- True
- False
💡 Hint: Reflect on the one-to-one relationship described in definitions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the set of rational numbers is countably infinite.
💡 Hint: Structure your list carefully to ensure each fraction is included exactly once.
Question 2
Show that removing one element from any infinite set leaves an infinite set.
💡 Hint: You can relate it to the counting of elements and their infinite nature.
Challenge and get performance evaluation