Practice - Part (b): Counting Bijective Functions
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Practice Questions
Test your understanding with targeted questions
Define a bijection in your own words.
💡 Hint: Think about injective and surjective functions.
Is the function f: {1, 2, 3} → {4, 4, 4} a surjection?
💡 Hint: Check if every element in the codomain has a pre-image.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a bijective function?
💡 Hint: Consider the definitions of injective and surjective functions.
True or False: All surjective functions are bijective functions.
💡 Hint: Think about the relationship between injectivity and surjectivity.
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Challenge Problems
Push your limits with advanced challenges
Given two infinite sets A and B, describe a surjective function that is not bijective.
💡 Hint: Use different relationships for mappings that overlap.
How would you prove that every bijective function has an inverse? Discuss the relationship.
💡 Hint: Focus on the uniqueness of mappings and how they allow reversibility.
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