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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={1,2,3} and B={2,3,4}?
💡 Hint: Count the total unique elements.
Question 2
Easy
Define the term 'cardinality'.
💡 Hint: Think about how many different items you have.
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 the principle of inclusion-exclusion primarily used for?
- Establishing set relationships
- Counting elements in overlapping sets
- Finding set intersections
💡 Hint: Think about what complication overlaps create when counting.
Question 2
True or False: The cardinality of |A ∪ B| is equal to |A| + |B| only if there is no overlap.
- True
- False
💡 Hint: Consider how overlaps affect counts.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given sets A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Calculate |A ∪ B ∪ C|.
💡 Hint: Follow the general formula for three sets carefully.
Question 2
Using the principle of inclusion-exclusion, prove for n = 4 sets that |A1 ∪ A2 ∪ A3 ∪ A4| can be expanded in terms of their pairwise and higher-order intersections.
💡 Hint: Ensure every intersection's contribution is correctly signed and counted.
Challenge and get performance evaluation