Sets Operations
If P(A) denotes the power set of A and A = {1, 2}, then n(P(A)) equals
Select the correct option:
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More sets, relations and functions Practice Questions
If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, then find the number of elements in (A ∪ B) - (A ∩ B...
If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, then find the number of elements in (A ∪ B) - (A ∩ B...
If n(A) = 15, n(B) = 20, and n(A ∪ B) = 30, what is the value of n(A ∩ B)?
If n(A) = 15, n(B) = 20, and n(A ∪ B) = 30, what is the value of n(A ∩ B)?
If A and B are two sets such that A ⊂ B, which of the following is always true?
If A and B are two sets such that A ⊂ B, which of the following is always true?
For sets A, B, and C, if A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C), which law does this represent?
For sets A, B, and C, if A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C), which law does this represent?
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6},...
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6},...
In a class of 50 students, 30 like Mathematics, 25 like Physics, and 10 like both subjects. How many...
In a class of 50 students, 30 like Mathematics, 25 like Physics, and 10 like both subjects. How many...
If A = {x : x² - 5x + 6 = 0} and B = {x : x² - 3x + 2 = 0}, then A ∩ B equals
If A = {x : x² - 5x + 6 = 0} and B = {x : x² - 3x + 2 = 0}, then A ∩ B equals
For any three sets A, B, and C, A - (B ∪ C) equals
For any three sets A, B, and C, A - (B ∪ C) equals
If A ∩ B = A ∩ C and A ∪ B = A ∪ C, which of the following must be true?
If A ∩ B = A ∩ C and A ∪ B = A ∪ C, which of the following must be true?
In a survey of 100 people, 60 like tea, 50 like coffee, 30 like juice, 20 like tea and coffee, 15 li...
In a survey of 100 people, 60 like tea, 50 like coffee, 30 like juice, 20 like tea and coffee, 15 li...
The number of proper subsets of a set containing n elements is
The number of proper subsets of a set containing n elements is
If A × B = {(1,2), (1,3), (2,2), (2,3)}, then which of the following is correct?
If A × B = {(1,2), (1,3), (2,2), (2,3)}, then which of the following is correct?
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.
Looking for more practice? Explore all mathematics questions or browse sets, relations and functions questions on RankGuru.