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Distributive Property

If nA=15, n...

Question

If $n (A) = 15, n (A - B) = 10$ then find $n (A \cap B)$

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Solution

We have $n (A - B) + n (A \cap B) = n (A)$
$\Rightarrow 10 + n (A \cap B) = 15$
$\Rightarrow n (A \cap B) = 15 - 10 = 5$
$∴ n (A \cap B) = 5$

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