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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a binary relation based on the sets A = {1, 2} and B = {a, b}.
💡 Hint: Use pairs of elements from each set.
Question 2
Easy
How many elements are in the Cartesian product of A = {1, 2} and B = {a, b, c}?
💡 Hint: Multiply the number of elements in set A by those in set B.
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 is a binary relation?
- A set of ordered pairs
- A single element
- A sub-collection of elements
💡 Hint: Think about the definition involving ordered pairs.
Question 2
True or False: The empty relation is a valid binary relation.
- True
- False
💡 Hint: Consider if an empty set can make a relation.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given two sets A = {x, y} and B = {1, 2, 3}, find all possible binary relations, and compute the total count. Discuss the nature of the relations.
💡 Hint: Examine subsets of the Cartesian product A x B.
Question 2
Consider the relation defined over A = {1, 2, ..., 5} such that aRb if and only if a is less than b. List all pairs and construct the corresponding Boolean matrix.
💡 Hint: Use ordered pairs, and for the matrix, remember positions for true pairs.
Challenge and get performance evaluation