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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a partition of the set {a, b, c, d}.
💡 Hint: Make sure the subsets do not overlap.
Question 2
Easy
What does it mean for two subsets to be pairwise disjoint?
💡 Hint: Consider the definition of disjoint sets.
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 reflexive
- A relation that is symmetric and transitive
- A relation that is reflexive
- symmetric
- and transitive
💡 Hint: Think about the definitions you've learned.
Question 2
True or False: Every partition of a set results in overlapping subsets.
- True
- False
💡 Hint: Recall the definition of a partition.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set C with five distinct elements, explore how many different partitions can be formed. Provide your reasoning.
💡 Hint: Consider small cases first to build understanding.
Question 2
Formulate an equivalence class relation from the set of natural numbers N which relays elements by their parity. Prove it is an equivalence relation.
💡 Hint: Check if the definitions hold according to the properties of equivalence relations.
Challenge and get performance evaluation