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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the power set of an empty set?
💡 Hint: Remember that the only subset of the empty set is the empty set itself.
Question 2
Easy
How many subsets are there in the set {1, 2, 3}?
💡 Hint: Use the formula 2^n, where n is the number of elements.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the power set of {1, 2}?
- {1
- 2}
- {1
- 2
- 3}
- {}
- {1}
- {2}
- {1
- 2}
💡 Hint: Think about every possible combination.
Question 2
True or False: The power set of a set with 3 elements has 6 subsets.
- True
- False
💡 Hint: Use the power set formula.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the set S = {a, b, c, d}, how many distinct subsets can be formed? Prove your answer using the power set formula.
💡 Hint: Break down each element's contributions to subsets.
Question 2
Explain in detail how the inductive proof works for the statement about power sets.
💡 Hint: Remember to express the subsets clearly and summarize logically.
Challenge and get performance evaluation