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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: Consider what elements are shared.
Question 2
Easy
How does adding the intersection help when calculating union?
💡 Hint: Think about how many times each element appears.
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 principle of inclusion-exclusion help prevent?
- A) Over-counting elements
- B) Under-counting elements
- C) Both A and B
💡 Hint: Think about how the overlap is handled.
Question 2
In how many ways can the intersection of n sets be expressed?
💡 Hint: Remember the pattern with positive and negative signs.
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}, and C = {5, 6, 7, 8}, calculate |A ∪ B ∪ C|.
💡 Hint: Use inclusion-exclusion carefully for intersections.
Question 2
If A1 to A5 have 3, 4, 5, 6, and 7 elements respectively, what is |A1 ∪ A2 ∪ A3 ∪ A4 ∪ A5| if some intersections are known?
💡 Hint: Each intersection adjusts the counting!
Challenge and get performance evaluation