Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is the definition of a partition?
💡 Hint: Think about how you can divide something into parts that don’t overlap.
Give an example of an equivalence relation.
💡 Hint: Consider how numbers relate to each other.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is an equivalence relation?
💡 Hint: Remember RST for Reflexive, Symmetric, Transitive.
True or False: Partitions can overlap.
💡 Hint: Think about the definition of partition again.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Create a set of students and partitions them into groups based on their favorite colors. Then define an equivalence relation based on this partition.
💡 Hint: Think how to relate members based on their color preference.
Given the equivalence relation R on set A where R = {(1, 1), (2, 2), (1, 2), (2, 1)}. Determine the equivalence classes and show they form a partition.
💡 Hint: Identify how members relate to each other under R.
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