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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Using sets A = {1, 2}, B = {2, 3}, calculate |A ∪ B|.
💡 Hint: Apply the principle of inclusion-exclusion.
Question 2
Easy
If |A| = 4 and |B| = 6 with |A ∩ B| = 2, what is |A ∪ B|?
💡 Hint: Remember the formula for union of two sets.
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 formula for finding the cardinality of the union of two sets?
- |A ∪ B| = |A| + |B|
- |A ∪ B| = |A| + |B| - |A ∩ B|
- |A ∪ B| = |A| - |B|
💡 Hint: Remember how elements are counted in both sets.
Question 2
True or False: The inclusion-exclusion principle can be applied to any number of sets.
- True
- False
💡 Hint: Think about expanding the principle beyond two sets.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have 10 different books, and you want to choose at least 3 for a reading group. How many selections can you make without duplicating those books?
💡 Hint: Consider breaking down the selections by the number of books chosen.
Question 2
In a class of 50 students, 20 study Math, 30 study Science, 10 study both. How many study only one subject?
💡 Hint: Draw a Venn diagram and look at overlaps.
Challenge and get performance evaluation