Question

If A = {1, a, 3}, then find the power set of A ?
1. {ϕ, {1}, {a}, {3}, {1, a}, {1, 3}, {a, 3}, A}
2. {ϕ, {a}, {3}, {1, a}, {1, 3}, {a, 3}, A}
3. {ϕ, {1}, {a}, {3}, {1, a}, {a, 3}, A}
4. None of these

Answer 1

Correct Answer - Option 1 : {ϕ, {1}, {a}, {3}, {1, a}, {1, 3}, {a, 3}, A}

Concept:

Let A be set, then the set of all the possible subsets of A is called the power set of A is called the power set of A and is denoted by P(A) = {X : X ⊆ A}

Calculation:

Given: A = {1, a, 3}

⇒ the subsets of A are: ϕ, {1}, {a}, {3}, {1, a}, {1, 3}, {a, 3}, A

As we know that, 

The power set of A  is given by P(A) = {X : X ⊆ A}

⇒ P(A) = {ϕ, {1}, {a}, {3}, {1, a}, {1, 3}, {a, 3}, A}

Hence, option 1 is correct.