If A = {5, 6, 7}, find P(A).

Question:

 If A = {5, 6, 7}, find P(A).

 

Solution:

A = {5, 6, 7}

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 $\{\phi\},\{5\},\{6\},\{7\},\{5,6\},\{5,7\},\{6,7\},\{5,6,7\}$

Hence the power $\operatorname{set} P(A)$ will be

$P(A)=\{\{\phi\},\{5\},\{6\},\{7\},\{5,6\},\{5,7\},\{6,7\},\{5,6,7\}\}$

 

Leave a comment