Practice Bijection with Parenthesizing - 23.1.3 | 23. Full Binary Tree Definition | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a Full Binary Tree.

💡 Hint: Focus on the characteristics of internal nodes.

Question 2

Easy

How many full binary trees are there with 2 leaves?

💡 Hint: Consider the simplest case.

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 Full Binary Tree?

  • Every node has one child
  • Every node has two children
  • Internal nodes have 0 or 2 children

💡 Hint: Think about what each node can have.

Question 2

Catalan numbers count which of the following?

  • True
  • False

💡 Hint: Consider their application in combinatorics.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Devise a formula based on the recurrence relation for the number of full binary trees with arbitrary n leaves.

💡 Hint: Consider breaking it down into smaller tree components.

Question 2

How would you visualize the Catalan number application in a real-world scenario, like expression grouping?

💡 Hint: Visualize with drawings and labels to clarify the concept.

Challenge and get performance evaluation