Practice Definition Of A Partition Of A Set (22.3) - Lecture -22 - Discrete Mathematics

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6 sample questions

Question 1.
Define a partition using your own words.
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Think about how you can divide a pizza without leaving any slices out.
Question 2.
What is an equivalence relation?
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Remember the properties that define this relation.
3Question 3.
What is a partition of a set?
- A way of merging subsets
- A collection of overlapping subsets
- A collection of non-empty
- disjoint subsets that cover the set.
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Circle the option that emphasizes 'non-empty' and 'disjoint'.
4Question 4.
True or False: An empty subset can be included in a partition.
- True
- False
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Remember the definition of a partition.
Question 5.
Given the set S = {x | x is a positive integer less than 10}, identify all possible partitions of S.
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Visualize different groupings without overlaps.
Question 6.
Create a set with distinct integers and define an equivalence relation that results in at least three equivalence classes.
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Think about how elements relate and group them accordingly.

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