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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a partition in your own words.
💡 Hint: Focus on the key terms non-empty, disjoint, and covering.
Question 2
Easy
Give an example of a simple partition from everyday life.
💡 Hint: Think of how people can be categorized based on shared attributes.
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 are the three properties of an equivalence relation?
- Reflexive
- Symmetric
- Transitive
- Only Reflexive
- Non-empty
- Overlapping-free
💡 Hint: Revise the definitions of the properties.
Question 2
True or False: A partition can have subsets that overlap.
- True
- False
💡 Hint: Consider what it means for subsets to be a partition.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of students, partition them based on their grade levels and define the corresponding equivalence relation.
💡 Hint: Consider how students in the same grade relate.
Question 2
Create a non-trivial partition of the set {1,2,3,4,5,6}, determine the equivalence relation, and verify that all properties hold.
💡 Hint: Focus on pair combinations from each subset.
Challenge and get performance evaluation