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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an injective function and give an example.
💡 Hint: Think of a simple linear function.
Question 2
Easy
What is a surjective function?
💡 Hint: Consider mappings to fewer elements.
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?
💡 Hint: Think of it as 'onto' mapping.
Question 2
If a function has 5 elements in the domain and 3 in the codomain, how many injective functions can it have?
- 1
- 0
- 6
💡 Hint: Consider if you can assign unique outputs for all inputs.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if you're given a surjective function from a finite set A (with 4 elements) to another finite set B (with 3 elements), A cannot contain an injective function.
💡 Hint: Reflect on the definitions of injective versus surjective.
Question 2
Calculate the number of surjective functions from set A with 5 elements to set B with 3 elements using Stirling numbers.
💡 Hint: Use the Stirling function properties and recall how permutations affect partitions.
Challenge and get performance evaluation