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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation with an example.
💡 Hint: Think of pairs and their reverse.
Question 2
Easy
What does it mean for A to be a subset of B?
💡 Hint: Check if the elements of A are all included in B.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is a symmetric relation?
- Only (a
- b) exists
- Both (a
- b) and (b
- a) exist
- Neither exists
💡 Hint: Recall how pairs behave in symmetric relations.
Question 2
True or False: Every reflexive relation is symmetric.
- True
- False
💡 Hint: Think of reflexive definitions.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the number of reflexive relations on a set of size n.
💡 Hint: Consider how diagonal elements limit your choices.
Question 2
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.
Challenge and get performance evaluation