Ten > Sets
If n(A) = 35, n(B) = 30, and n(A $\rm \cap$ B) = 20, find n (A $\cup$ B) and no(A) by using a Venn diagram.
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Atith Adhikari
·
2 years ago
Solution
Given
$\rm n(A) = 35, n(B) = 30, n(A \cap B) = 20$
To find: $\rm n(A \cup B) = ?$ and $\rm n_{o}(A) = ?$
We plot this information in a Venn diagram.
By using the Venn diagram, we find that:
$\rm n(A \cup B) = n_{o}(A) + n(A \cap B) + n_{o}(B) = 45$
$\rm n_{o} (A) = 15$
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