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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a surjective function.
💡 Hint: Think of it as every 'output' must have at least one 'input'.
Question 2
Easy
What is an injective function?
💡 Hint: Does every unique input need to yield a unique output?
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 defines a surjective function?
- Each element in the codomain has at least one corresponding pre-image.
- No two inputs map to the same output.
- Both A and B.
💡 Hint: Focus on what needs to be covered in terms of outputs.
Question 2
True or False: Every bijective function is also surjective.
- True
- False
💡 Hint: Consider the definitions of the terms involved.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a surjective function from the set {1, 2, 3, 4} to {A, B} and describe its properties.
💡 Hint: Keep in mind the requirements for surjectiveness.
Question 2
Provide a proof using induction that the number of bijective functions from a set of size n to itself is n!.
💡 Hint: Use the principle of mathematical induction to structure your proof.
Challenge and get performance evaluation