Sets Operations
If P(A) denotes the power set of A and A = {1, 2}, then n(P(A)) equals
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Solution
4
- Definition: The power set P(A) is the set containing all possible subsets of A.
- List Subsets: For A={1,2}, the subsets are:
- Empty set: ∅
- Singletons: {1},{2}
- The set itself: {1,2}
- Count: There are exactly 4 elements in P(A).
- Formula Verification: 2n(A)=22=4.
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About This Question
- Subject
- mathematics
- Chapter
- sets, relations and functions
- Topic
- sets operations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
4
- Definition: The power set P(A) is the set containing all possible subsets of A.
- List Subsets: For A={1,2}, the subsets are:
- Empty set: ∅
- Singletons: {1},{2}
- The set itself: {1,2}
- Count: There are exactly 4 elements in P(A).
- Formula Verification: 2n(A)=22=4.
This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of sets operations. It appeared in the 2025 exam.
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