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From the Venn diagram, verify that \(n(A \cup B) = n(A) + n(B) - n(A \cap B)\).
![YCIND_220729_4188_figure_1.png](https://resources.cdn.yaclass.in/84764243-d318-4ee7-8d70-0397caea1beb/YCIND2207294188figure1w300.png)
Proof:
LHS: \(n(A \cup B) =\)
\(n(A) =\)
\(n(B) =\)
\(n(A \cap B) =\)
RHS: \(n(A) + n(B) - n(A \cap B) =\)
Since LHS \(=\) RHS, then \(n(A \cup B) = n(A) + n(B) - n(A \cap B)\).
Hence, we proved.