Practice - Number of Binary Relations
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Practice Questions
Test your understanding with targeted questions
Define a binary relation based on the sets A = {1, 2} and B = {a, b}.
💡 Hint: Use pairs of elements from each set.
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.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a binary relation?
💡 Hint: Think about the definition involving ordered pairs.
True or False: The empty relation is a valid binary relation.
💡 Hint: Consider if an empty set can make a relation.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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