Practice - Introduction
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Practice Questions
Test your understanding with targeted questions
Define a surjective function in your own words.
💡 Hint: Think about the elements in both sets and how they relate.
What is S(n, k) in terms of Stirling numbers?
💡 Hint: Consider the connection to set partitions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a surjective function?
💡 Hint: Think about the relationship between the domain and codomain elements.
Is a bijective function always injective?
💡 Hint: Recall the definitions of injective and bijective functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a set of size 5, how many different surjective functions can be created to a set of size 3?
💡 Hint: Remember to break it down into partitions and mappings.
Prove that there exists a surjective function that is not injective by constructing a specific example.
💡 Hint: Focus on the mappings from domain to codomain.
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Reference links
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