Practice - Question 3
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Practice Questions
Test your understanding with targeted questions
What is a symmetric relation?
💡 Hint: Consider how pairs are related.
Provide an example of an anti-symmetric relation.
💡 Hint: Think about how elements relate when they are equal.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following pairs must both be present for a symmetric relation?
💡 Hint: Think about how the pairs relate to each other.
True or False: All reflexive relations are also symmetric.
💡 Hint: Consider the definitions of both properties.
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Challenge Problems
Push your limits with advanced challenges
Given a set of 5 elements, calculate the number of different symmetric relations possible. Show your workings.
💡 Hint: Focus on how each pair can be chosen.
Explain why a relation that is both reflexive and asymmetric cannot exist. Provide a contradiction.
💡 Hint: Consider the definitions and how they interact.
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