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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a partition of a set is.
💡 Hint: Focus on the key features of partitions.
Question 2
Easy
Give an example of a pairwise disjoint partition of the set {a, b, c}.
💡 Hint: Make sure subsets do not share elements.
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 collection of overlapping subsets
- A collection of disjoint subsets that covers the set
- A single subset of the set
💡 Hint: Consider how elements of the set are organized.
Question 2
True or False: The union of any two subsets in a partition can contain elements from outside the original set.
- True
- False
💡 Hint: Think about what a set is composed of.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of integers {1, 2, 3, 4, 5, 6}, list all possible partitions.
💡 Hint: Consider how many ways groups can be formed without overlapping.
Question 2
Define an equivalence relation on the set of all students at a university based on their majors and describe the equivalence classes formed.
💡 Hint: Think about how each class is related to the others.
Challenge and get performance evaluation