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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 sets A = {1, 2} and B = {2, 3}?
💡 Hint: Remember to subtract the intersection.
Question 2
Easy
If A = {1, 2, 3} and B = {2, 3, 4}, what is |A ∩ B|?
💡 Hint: List the common 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 does the inclusion-exclusion principle help calculate?
- The size of a single set
- The size of the union of multiple sets
- The size of intersection only
💡 Hint: Think about what union means.
Question 2
True or False: The intersection must always be subtracted in the inclusion-exclusion principle.
- True
- False
💡 Hint: Reflect on the role of overlaps.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given sets A, B, C with cardinalities |A|=5, |B|=7, |C|=3, |A ∩ B|=2, |A ∩ C|=1, |B ∩ C|=1, |A ∩ B ∩ C|=0, find |A ∪ B ∪ C|.
💡 Hint: Follow the inclusion-exclusion formula step by step.
Question 2
Consider four sets P, Q, R, S where |P|=6, |Q|=5, |R|=4, |S|=3 and every intersection where two sets meet is 1, and three sets meet is 0. Calculate |P ∪ Q ∪ R ∪ S|.
💡 Hint: Tally each term carefully as directed.
Challenge and get performance evaluation