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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a derangement?
💡 Hint: Think about arrangements that avoid placing objects back to where they started.
Question 2
Easy
Provide an example of a derangement for the set {1, 2}.
💡 Hint: Consider the fact that there are only two objects.
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 definition of a derangement?
💡 Hint: Recall the meaning of arrangements.
Question 2
True or False: D(1) = 1.
- True
- False
💡 Hint: Consider the number of ways to arrange one object.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given 5 distinct objects, how many derangements can be formed? Show your calculations.
💡 Hint: Use the established recurrence and substitute known values.
Question 2
Explore a new configuration where no object can be in its direct neighbor’s position (e.g. a line of people). What changes?
💡 Hint: Think about the implications of forbidding adjacent positions.
Challenge and get performance evaluation