Practice Power Set (15.6) - Sets - Discrete Mathematics

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6 sample questions

Question 1.
What is the power set of an empty set?
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Remember that the only subset of the empty set is the empty set itself.
Question 2.
How many subsets are there in the set {1, 2, 3}?
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Use the formula 2^n, where n is the number of elements.
3Question 3.
What is the power set of {1, 2}?
- {1
- 2}
- {1
- 2
- 3}
- {}
- {1}
- {2}
- {1
- 2}
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Think about every possible combination.
4Question 4.
True or False: The power set of a set with 3 elements has 6 subsets.
- True
- False
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Use the power set formula.
Question 5.
Given the set S = {a, b, c, d}, how many distinct subsets can be formed? Prove your answer using the power set formula.
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Break down each element's contributions to subsets.
Question 6.
Explain in detail how the inductive proof works for the statement about power sets.
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Remember to express the subsets clearly and summarize logically.

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