Practice - Example Problems
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Practice Questions
Test your understanding with targeted questions
Using sets A = {1, 2}, B = {2, 3}, calculate |A ∪ B|.
💡 Hint: Apply the principle of inclusion-exclusion.
If |A| = 4 and |B| = 6 with |A ∩ B| = 2, what is |A ∪ B|?
💡 Hint: Remember the formula for union of two sets.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for finding the cardinality of the union of two sets?
💡 Hint: Remember how elements are counted in both sets.
True or False: The inclusion-exclusion principle can be applied to any number of sets.
💡 Hint: Think about expanding the principle beyond two sets.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
Supplementary resources to enhance your learning experience.