If A = {3, {2}}, find P(A).

Question:

If A = {3, {2}}, find P(A).

Solution:

A = {3, {2}}

We have to find $P(A)$ which is power set of $A$

The power set of set $A$ is collection of all possible subsets of $A$

The possible subsets of $A$ are $\{\phi\},\{3\},\{\{2\}\},\{3,\{2\}\}$

Hence the power set $P(A)$ will be

$\mathrm{P}(\mathrm{A})=\{\{\phi\},\{3\},\{\{2\}\},\{3,\{2\}\}$

 

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