Question

What is a power set? Write the power set of A ={ 2 , 3 , 1}.

Answer 1

Hi...☺

Here is your answer...✌
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" A power set is the set of all subsets of a set "

Given Set :

A = { 2 , 3 , 1 }

Subsets of A are :

{ } [an empty set also denoted as Ф]

{ 2 } , { 3 } , { 1 }

{ 2 , 3 } , { 2 , 1 } , { 3 , 1 }

{ 2 , 3 , 1 }

Therefore,

Power set of A,

P(A) = { { } , {2} , {3} , {1} , {2,3} , {2,1} , {3,1} , {2,3,1} }

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We can calculate the no. of elements in power set of any set using a formula

Suppose a Set have 'p' elements

Then it's power set have elements equal to 2^p

i.e., if n(A) = p

Then n( P(A) ) = 2^p