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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate |A ∪ B| if |A|=5, |B|=3, and |A ∩ B|=1.
💡 Hint: Use the formula for two sets.
Question 2
Easy
What is the cardinality of the union of two disjoint sets |A|=4 and |B|=5?
💡 Hint: If sets are disjoint, there’s no intersection to subtract.
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 general formula for the union of two sets?
- |A| + |B|
- |A| + |B| - |A ∩ B|
- |A| - |B|
💡 Hint: Review the principle of inclusion-exclusion.
Question 2
True or False: Inclusion-Exclusion can only be applied to two sets.
- True
- False
💡 Hint: Think about how we extended the concept from two to three sets.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Four students register for three different classes, with some taking multiple classes. How many unique student registrations can be calculated using the principle?
💡 Hint: List out overlaps carefully.
Question 2
You have 5 distinct colors; how can you calculate the distinct patterns you can create using the inclusion-exclusion principle if some colors must overlap?
💡 Hint: Map your color set accurately to find overlaps.
Challenge and get performance evaluation