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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is C(2)?
💡 Hint: Think of the arrangements for three numbers.
Question 2
Easy
How many valid strings can be created with 1 pair of parentheses?
💡 Hint: Count the number of valid pairs.
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 does C(3) represent?
- Ways to parenthesize 3 numbers
- Ways to parenthesize 4 numbers
- Ways to parenthesize 5 numbers
💡 Hint: Remember the definition of C(n).
Question 2
True or False: C(n) is an example of a combinatorial sequence.
- True
- False
💡 Hint: Think about what combinatorial problems involve.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Calculate C(5) using the recurrence relation.
💡 Hint: Use the known values of C(0)-C(4) to calculate.
Question 2
Show that the number of valid parentheses of length 2n is equal to C(n).
💡 Hint: Draw connections between parentheses arrangement and multiplication.
Challenge and get performance evaluation