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3 cards from this section. Quick, good the night before a test.
Define a partition of the set {1, 2, 3, 4}.
Make sure to include non-empty disjoint subsets.
True or False: In a partition, two subsets can overlap.
Remember the definition of disjoint subsets.
What defines an equivalence relation?
Think about the properties you learned.
True or False: A partition can contain empty subsets.
Refer to the definition of partitions.
Given the set and the partition construct the equivalence relation and prove its properties.
Check the conditions for creating pairs from subsets within the partition.
Determine the number of possible partitions for the set .
Think about all the ways to combine and split into disjoint non-empty subsets.
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