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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for the cardinality of the union of two sets?
💡 Hint: Think about over-counting!
Question 2
Easy
If |A| = 5 and |B| = 3, and |A ∩ B| = 2, what's |A ∪ B|?
💡 Hint: Use the formula for union!
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
How does the principle of inclusion-exclusion help in counting?
💡 Hint: Think about adding and subtracting counts.
Question 2
The formula for three sets' union primarily adjusts for what?
- True
- False
💡 Hint: Remember the addition and subtraction scheme!
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a conference, 100 attendees discussed several topics. If 70 were interested in AI, 50 in Data Science, and 30 in both, determine how many were interested in at least one topic.
💡 Hint: Set up each count and adjust using the intersection.
Question 2
Consider three libraries A, B, and C with 100, 80, and 60 titles respectively, with overlaps: 30 common in A and B, 20 in A and C, 25 between B and C, and 15 in all three. Find the number of unique titles.
💡 Hint: Extract each size and substitute into the inclusion-exclusion formula.
Challenge and get performance evaluation