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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 of a simple example with three objects.
Question 2
Easy
Provide a value for D(0).
💡 Hint: Consider the definition of derangement.
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 defines a derangement?
- All elements remain in their place
- At least one element is out of place
- No element remains in its original position
💡 Hint: Think about the definition.
Question 2
Is D(2) greater than D(1)?
- True
- False
💡 Hint: Compare the values calculated.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For n = 6, challenge yourself by calculating D(6) using both values from the recurrence relation and directly enumerating possibilities.
💡 Hint: Use previous calculations to help.
Question 2
Create a graphical representation of the derangements for n=4. Illustrate the invalid placements to better visualize.
💡 Hint: Think about arranging four objects and sketching their positions.
Challenge and get performance evaluation