A and B are finite sets such that $n (A) = 17$ and $n (B) = 29.$ If A is a subset of B, then $n ((A \cup B) - (A \cap B))$ = ___.

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Solution

The correct option is A 12
Given that $A \subset B .$
$∴ A \cup B = B \Rightarrow n (A \cup B) = n (B) = 29$
Also, $A \cap B = A .$
$\Rightarrow n (A \cap B) = n (A) = 17 n ((A \cup B) - (A \cap B)) = n (B - A) = n (B) - n (A \cap B) = n (B) - n (A) = 29 - 17 = 12$

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