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Intersection of Sets

If nA=3, nB...

Question

If $n (A) = 3, n (B) = 5, n (A \cap B) = 2$ , find $n (A \cup B)$ .

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Solution

Given, $n (A) = 3, n (B) = 5, n (A \cap B) = 2$

We know,

$n (A \cup B) = n (A) + n (B) - n (A \cap B)$

$n (A \cup B) = 3 + 5 - 2 = 6$

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