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If X = {a, b}. Then find the power set of X

If X = {a, b}. Then find the power set of X Correct Answer  {ϕ,{a}, {b}, {a, b}}

Concept:

Power Set:

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). i.e P(A) = {X : X ⊆ A}

Note: If A is a finite set with m elements. Then the number of elements (cardinality) of the power set of A is given by: n (P(A)) = 2m.

Calculation:

Given: X = {a, b}

The subsets of the given set X are: ϕ,{a}, {b}, {a, b}

As we know that, if A is any 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).

Hence, P(X) = {ϕ,{a}, {b}, {a, b}}

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