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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a partition using your own words.
💡 Hint: Think about how you can divide a pizza without leaving any slices out.
Question 2
Easy
What is an equivalence relation?
💡 Hint: Remember the properties that define this relation.
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 partition of a set?
- A way of merging subsets
- A collection of overlapping subsets
- A collection of non-empty
- disjoint subsets that cover the set.
💡 Hint: Circle the option that emphasizes 'non-empty' and 'disjoint'.
Question 2
True or False: An empty subset can be included in a partition.
- True
- False
💡 Hint: Remember the definition of a partition.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the set S = {x | x is a positive integer less than 10}, identify all possible partitions of S.
💡 Hint: Visualize different groupings without overlaps.
Question 2
Create a set with distinct integers and define an equivalence relation that results in at least three equivalence classes.
💡 Hint: Think about how elements relate and group them accordingly.
Challenge and get performance evaluation