MediumMathematics
+4 / -1
If A = {0,ϕ,{8}}, what will be the number of subsets of P(A)?
A
4
B
8
C
256
D
16
Explanation
Here n(A) = 3, ⇒ n[P(A)] = 2^3 = 8 ; Total number of subsets of A. Thus, Total number of subsets of P(A) = 2^8 = 256.
Previous
The set S = {1,2,3, ...,15} is to be partitioned into three sets A, B, C of equa
NextIf A ⊂ B and B ⊂ C then A ∪ C is equal to
More from Sets
Hard
Let A₁, A₂, A₃, ..., A₁₀₀ be 100 sets such that n(Aᵢ) = i + 1 and A₁ ⊂ A₂ ⊂ A₃ ⊂ ⋯ A₁₀₀, then ⋃ᵢ₌₁⁶⁰
HardIf A₁ ⊂ A₂ ⊂ A₃ ⊂ ⋯ ⊂ A₅₀, and n(Aᵢ) = i – 1, then n(⋂ᵢ₌₁₁⁵⁰ Aᵢ) is equal to:
HardIf A = {(x, y): x² + y² ≤ 1, x,y ∈ R} and B = {(x, y): x² + y² ≤ 4, x,y ∈ R}, then
MediumTwo finite sets have m and n elements respectively. The total number of subsets of first set is 56 m
MediumWhich option is representing the given Venn diagram?
EasyIf A and B are two sets, then (A – B)∩(B – A)∩(A ∩ B) equals to:
Practice Mathematics Exams
Full-length mock tests with detailed analytics, rank, and percentile.
Browse Exams