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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation and provide one example.
💡 Hint: Think about relationships where both parties have mutual recognition.
Question 2
Easy
What characterizes an anti-symmetric relation?
💡 Hint: Consider scenarios where equality plays a role.
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
True or False: A symmetric relation must have both (a,b) and (b,a) present if one exists.
- True
- False
💡 Hint: Check how the elements must relate to each other.
Question 2
Which of the following represents an example of an anti-symmetric relation?
A: (1,2) and (2,1)
B: (2,3) only
C: (4,4) both as (a,a) is acceptable
- A
- B
- C
💡 Hint: Determine if either (a,b) or (b,a) can coexist.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of size 5, calculate the total number of symmetric relations. Show the step-by-step process.
💡 Hint: Recall the formula involves n choose pairs.
Question 2
Construct a set of elements and create both a symmetric and an anti-symmetric relation. Explain the choices.
💡 Hint: Think about the directionality involved.
Challenge and get performance evaluation