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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the cardinality of the union of two sets A and B, given |A|=10 and |B|=12 with |A ∩ B|=5?
💡 Hint: Use the union formula.
Question 2
Easy
Define what is meant by 'intersection' in set theory.
💡 Hint: Think about shared 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 formula would you use to find the number of elements in |A ∪ B|?
- |A| + |B|
- |A| + |B| - |A ∩ B|
- |A| - |B|
💡 Hint: Remember why we subtract the intersection!
Question 2
True or False: The principle of inclusion-exclusion can be applied to more than two sets.
- True
- False
💡 Hint: Think about how we can add more elements.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have three sets: A has 5 elements, B has 3 elements, and C has 4. The intersections are |A ∩ B| = 2, |A ∩ C| = 1, |B ∩ C| = 1 and |A ∩ B ∩ C| = 0. Calculate |A ∪ B ∪ C|.
💡 Hint: Follow the inclusion-exclusion steps carefully.
Question 2
Draw a Venn diagram for two sets A and B with |A|=6, |B|=4, and |A ∩ B|=2. Label the individual regions.
💡 Hint: Consider each section of the diagram and how they relate.
Challenge and get performance evaluation