EasyMathematics
+4 / -1
If A = ϕ then what will be the value of n(P(A))?
A
ϕ
B
0
C
Insufficient data
D
1
Explanation
We know that the power set is the collection of all the subsets of any given set. Since, A = ϕ i.e., A = { } ; empty set. As, there is no element in A ⇒ n(A) = 0 ⇒ n(P(A)) = 2^0 = 1.
Previous
Two finite sets have m and n elements respectively. The total number of subsets
NextIn a town of 10,000 families, it was found that 40% family buy newspaper A, 20%
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