Practice New Problem of Sequences - 20.5.1 | 20. Catalan Numbers | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does C(2) equal?

💡 Hint: Think about how parentheses can be arranged for two pairs.

Question 2

Easy

Define a valid parentheses string.

💡 Hint: Consider how you ensure that every '(' is matched.

Practice 2 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?

  • 3
  • 5
  • 1

💡 Hint: Recall the examples discussed in class.

Question 2

Is the string '(()()())' valid?

  • True
  • False

💡 Hint: Count the parentheses and check for matches.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the number of valid parenthesis sequences for n = 4, and list them.

💡 Hint: Use your understanding of valid sequences and recursive definitions.

Question 2

Using the recurrence relation, calculate C(5) based on previous values.

💡 Hint: Execute the summation for all k values from 0 to 4.

Challenge and get performance evaluation