Thank you for reporting, we will resolve it shortly
Q.
For any two sets $A$ and $B, n(A)=25, n(B)=13$, $A \cap B \neq \phi$ and $B \not \subset A$. The maximum possible value of $n(A \Delta B)$___
Sets, Relations, and Functions
Solution:
For the maximum value of $n(A \Delta B)$, $n(A \cap B)$ should be minimum.
The minimum value of $n(A \cap B)=1$,
$ (\because n(A \cap B) \neq 0) . $
$ \therefore n(A \Delta B)=n(A \cup B)-n(A \cap B)=n(A)+ n(B)-2[n(A \cap B)]=25+13-2=36$