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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a partition of a set?
💡 Hint: Think of how a pizza can be cut into slices.
Question 2
Easy
Does a partition of a set have overlapping subsets?
💡 Hint: Consider how two different states cannot overlap.
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 an equivalence relation?
- A relation that is only symmetric.
- A relation that is reflexive
- symmetric
- and transitive.
- A relation that does not require any properties.
💡 Hint: Recall the properties we discussed.
Question 2
True or False: A partition can have overlapping subsets.
- True
- False
💡 Hint: Think of how subsets cannot share elements.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a partition of the set {1, 2, 3, 4, 5} into subsets of size two.
💡 Hint: Think about how you can pair up elements.
Question 2
Prove that the equivalence classes of an equivalence relation form a partition.
💡 Hint: Use the properties of equivalence relations in your proof.
Challenge and get performance evaluation