If A = {λ, {λ, μ}}, then the power set of A is

Question

Question

This question was previously asked in

NDA (Held On: 21 Apr 2019) Maths Previous Year paper

Attempt Online

Answer 1

Concept:

Power set: Let A be a non-empty set. Then, \(P\left( A \right) = \left\{ {B\;|\;B\; \subseteq A} \right\}\) is called as the power set of A.

For any non-empty set A with n(A) = x. Then the total no. of subsets of set A is given by: 2^x.

i.e n(P(A)) = 2^x.

Calculation:

Given: A = {λ, {λ, μ}}

Subsets of A are: {λ}, {{λ, μ}}, {λ, {λ, μ}}, φ

Power set of A, P(A) = {φ, {λ}, {{λ, μ}}, {λ, {λ, μ}}}