Practice Requirements For Partition (22.3.1) - Lecture -22 - Discrete Mathematics

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6 sample questions

Question 1.
Define a partition in your own words.
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Think of subsets that do not overlap.
Question 2.
Give an example of two disjoint sets.
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Look for sets with no shared elements.
3Question 3.
What is a requirement for a set to be partitioned?
- All subsets contain the same elements
- Each subset is empty
- Each subset must be non-empty and disjoint
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Think about the definitions we've covered.
4Question 4.
True or False: Two subsets can have common elements and still form a valid partition.
- True
- False
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Remember the condition of disjoint subsets.
Question 5.
Given the set {A, B, C, D, E, F}, create two different valid partitions and explain why they satisfy partition requirements.
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Remember to check if all elements are covered.
Question 6.
Can the equivalence classes generated from the relation of 'having the same first initial' on the set of names form a partition? Why or why not?
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Think about names that would fall into the same equivalence class.

4 more questions in this section. Enroll free to practise them all.