Practice - Cardinality of Finite Sets
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
What is the cardinality of the set {Cat, Dog, Fish}?
💡 Hint: Count the number of elements.
True or false: |{Apple, Banana}| = |{1, 2, 3}?
💡 Hint: Compare the number of elements in each set.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the notation |X| represent?
💡 Hint: Think of cardinality as counting.
True or False: A bijection implies that the two sets have the same number of elements.
💡 Hint: Remember the definition of bijection.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Demonstrate why the set of all even integers is countable and establish a bijection to the positive integers.
💡 Hint: Consider how each positive integer relates to an even integer.
Find all the possible bijections between the sets A = {1, 2} and B = {x, y}.
💡 Hint: Count how many ways to pair elements uniquely.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.