Practice Question 3: Counting Equivalence Relations (1.1.5)

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6 sample questions

Question 1.
What is P(1)?
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Think about how many ways you can group a single element.
Question 2.
Is an equivalence relation reflexive? Yes or No?
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Check if each element relates to itself.
3Question 3.
What does P(n) represent?
- The number of elements in a set
- The number of equivalence relations
- The number of ways to arrange elements
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Focus on equivalence definitions.
4Question 4.
True or False: An equivalence relation must be reflexive.
- True
- False
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Recall the properties of relations.
Question 5.
Given a set S with 4 elements, derive the formula for P(4) using the recurrence relation.
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Think about adding the combinations of previous values.
Question 6.
How does the nature of equivalence relations affect the size of a set?
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Consider how partitions distribute elements across subsets.

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