Practice - Generalization to n Sets
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Practice Questions
Test your understanding with targeted questions
What is the cardinality of the union of sets A = {1, 2} and B = {2, 3}?
💡 Hint: Consider what elements are shared.
How does adding the intersection help when calculating union?
💡 Hint: Think about how many times each element appears.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the principle of inclusion-exclusion help prevent?
💡 Hint: Think about how the overlap is handled.
In how many ways can the intersection of n sets be expressed?
💡 Hint: Remember the pattern with positive and negative signs.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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!
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