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2 cards from this section. Quick, good the night before a test.
Define a symmetric relation with an example.
Think of pairs and their reverse.
What does it mean for A to be a subset of B?
Check if the elements of A are all included in B.
What is a symmetric relation?
Recall how pairs behave in symmetric relations.
True or False: Every reflexive relation is symmetric.
Think of reflexive definitions.
Determine the number of reflexive relations on a set of size n.
Consider how diagonal elements limit your choices.
If A is a set of n distinct elements, prove A can have at most 2^((n(n-1)/2) + n) distinct symmetric relations.
Think about each pairing and its count implications.
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