Practice - Discrete Mathematics
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
How many full binary trees can be formed with 2 leaves?
💡 Hint: Consider the definition of a full binary tree.
What is a valid path from (2,2) to (0,0) in a grid?
💡 Hint: Think about how many times you will move right and upward.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
How many leaves does a full binary tree with 3 internal nodes have?
💡 Hint: Think about how the structure of full binary trees works.
True or False: All vertices of a polygon can form diagonals.
💡 Hint: Consider the definition of what a diagonal is.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Formulate and prove a relationship between the number of full binary trees and the Catalan sequence.
💡 Hint: Consider how binary trees can represent multiplication.
Provide a rigorous mathematical proof for the formula calculating diagonals in a polygon.
💡 Hint: Break down sides and verify with smaller polygons.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.