Practice - Derangements
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Practice Questions
Test your understanding with targeted questions
What is a derangement?
💡 Hint: Think of how people would swap hats without getting their own back.
Calculate D_2, the number of derangements for two items.
💡 Hint: Consider swapping two items.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does D_n represent?
💡 Hint: Think about what happens to each object in a derangement.
True or False: The principle of inclusion-exclusion can only be applied to derangements.
💡 Hint: Consider the broad applications of inclusion-exclusion.
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Challenge Problems
Push your limits with advanced challenges
If you have 8 objects, derive the number of derangements D_8 using inclusion-exclusion.
💡 Hint: Break the series down into manageable parts.
Explore how derangements could apply to a real-world scenario involving seating arrangements.
💡 Hint: Consider the permutations in real social contexts.
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Reference links
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