Practice Counting Valid Paths - 23.2.1 | 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

What is a full binary tree?

💡 Hint: Think about how many children each node should have.

Question 2

Easy

How do you calculate the number of diagonals in a triangle?

💡 Hint: Consider what diagonal connects non-adjacent vertices.

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 characterizes a full binary tree?

  • Each node has either one or two children.
  • Each node has two or no children.
  • Nodes can have three children.

💡 Hint: Consider what makes a tree 'full'.

Question 2

A valid path in a grid can involve which moves?

  • True
  • False

💡 Hint: Think about the movement constraints.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

How many distinct full binary trees can you create with 5 leaves? Hint: Relate to Catalan numbers.

💡 Hint: Remember to look up the Catalan number for n = 4.

Question 2

If there are 10 sides in a convex polygon, how many diagonals exist?

💡 Hint: Calculate each step carefully and remember the formula!

Challenge and get performance evaluation