Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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 related to the topic.
Question 1
Easy
Define a countable set.
💡 Hint: Consider both finite and infinite aspects.
Question 2
Easy
What is the Cartesian product of two sets?
💡 Hint: Think about ordered 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 defines a countable set?
- It has a finite size only
- It can be put in one-to-one correspondence with positive integers
- It contains only rational numbers
💡 Hint: Consider the definition of cardinality.
Question 2
Is the set of rational numbers countable?
- True
- False
💡 Hint: Think about their listing method.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate how to enumerate a new countably infinite set and prove its countability.
💡 Hint: Use simple rules to define the mapping.
Question 2
Explain the implications of the Schröder-Bernstein theorem with an example.
💡 Hint: Consider overlaps and combinations.
Challenge and get performance evaluation