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Venn Diagram

In the Venn d...

Question

In the Venn diagram $n (A) = 10, n (B) = 13, n (A \cap B) = x$ and $n (A \cup B) = 18$ .
Add together the number of elements in the three parts of the diagram to obtain the equation $10 - x + x + 13 - x = 18$ .

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Solution

$n (A) = 10 n (B) = 13 n (A \cup B) = 18 n (A \cup B) = n (A - B) + n (B - A) + n (A \cap B) 10 - x + x + 13 - x = 18$

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