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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
List all derangements for 3 elements A, B, C.
💡 Hint: Recall that no element can be in its original position.
Question 2
Easy
What is the definition of a derangement?
💡 Hint: Think about how this affects their placements.
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?
💡 Hint: Think about what happens to items in a shuffled arrangement.
Question 2
True or False: The formula for derangements is D(n) = (n - 1) * (D(n - 1) + D(n - 2)).
💡 Hint: This formula shows how previous results can define new ones.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that D(n) = (n!)(1 - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!) using induction.
💡 Hint: Recall how factorial terms alter when establishing this equation.
Question 2
How do derangements apply in generating random matches in a class?
💡 Hint: This can help in discussions and keeping partnerships dynamic.
Challenge and get performance evaluation