Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
Define a surjective function.
💡 Hint: Think of it as every 'output' must have at least one 'input'.
What is an injective function?
💡 Hint: Does every unique input need to yield a unique output?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a surjective function?
💡 Hint: Focus on what needs to be covered in terms of outputs.
True or False: Every bijective function is also surjective.
💡 Hint: Consider the definitions of the terms involved.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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