Ten > Sets
If n(A) = 40, n(B) = 60, and n(A $\rm \cup$ B) = 80,
- Find the value of n (A $\rm \cap$ B).
- Draw a Venn diagram of the above information.
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Atith Adhikari
·
2 years ago
Solution
Given
$\rm n(A) = 40, n(B) = 60, n(A \cup B) = 80$
By using the formula for the union of two sets, we get
$\rm n(A \cup B) = n(A) + n(B) - n(A \cap B)$
$\rm or, n(A \cap B) = n(A) + n(B) - n(A \cup B)$
$\rm or, n(A \cap B) = 40 + 60 - 80$
$\rm \therefore n(A \cap B) = 20$
Now, we show the above information in a Venn diagram.
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