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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 many elements a set has.
Question 2
Easy
What is an injective function?
💡 Hint: Remember, no two outputs should be the same for different inputs.
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 refer to?
- Size of a set
- Shape of a set
- Color of elements
💡 Hint: Think about how big the set is.
Question 2
True or False: An injective function maps two inputs to the same output.
- True
- False
💡 Hint: Recall the definition of injective functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that for any set A, removing a finite number of elements will leave the cardinality either unchanged or smaller.
💡 Hint: Consider the implications of finite vs infinite removals.
Question 2
Show that the union of two countably infinite sets is countably infinite.
💡 Hint: Think about list ordering.
Challenge and get performance evaluation