Question

If A={a, b}, then find P(A).

Answer 1

Answer :-

P(A) = { {}, { a } , { b } , { a, b } }

Solution :-

Power set of a set say k is the set of all the subset of k.

In the given question, we are given a set A = { a, b} and we have to find it's power set which is given by P(A) .

Inorder to solve this question, firstly we will find all the subset of set A to write it's power set.

Subset of set A are:-

• {}, {a}, {b} , { a,b }

So the power set of A is:-

• P(A) = { {}, {a}, {b}, {a,b} }

[ {} is the empty set or also called phi or null set. It is the subset of all the sets.]