Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
Define a symmetric relation with an example.
💡 Hint: Think of pairs and their reverse.
What does it mean for A to be a subset of B?
💡 Hint: Check if the elements of A are all included in B.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a symmetric relation?
💡 Hint: Recall how pairs behave in symmetric relations.
True or False: Every reflexive relation is symmetric.
💡 Hint: Think of reflexive definitions.
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Challenge Problems
Push your limits with advanced challenges
Determine the number of reflexive relations on a set of size n.
💡 Hint: Consider how diagonal elements limit your choices.
If A is a set of n distinct elements, prove A can have at most 2^((n(n-1)/2) + n) distinct symmetric relations.
💡 Hint: Think about each pairing and its count implications.
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Reference links
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