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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define cardinality in your own words.
💡 Hint: Think about how you would count items in a box.
Question 2
Easy
What is a Catalan number?
💡 Hint: Consider its use in counting valid parentheses.
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 cardinality of set A?
- C(2n
- n)
- C(2n
- n+1)
- C(2n
- n-1)
💡 Hint: Remember how we select positions for parentheses.
Question 2
True or False: The reflection method helps in counting bad sequences.
- True
- False
💡 Hint: Think about how reflection modifies sequences.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the nth Catalan number for n=4 using any proven combinatorial method.
💡 Hint: Follow the formula using the binomial coefficient.
Question 2
Given a specific sequence of 1s and -1s, identify whether it is valid or determine its fault using the reflection technique.
💡 Hint: Use a sample case to illustrate.
Challenge and get performance evaluation