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

Given : $A \subset B$
$∴ A \cup B = B \Rightarrow n (A \cup B) = n (B) = 29 A l s o, A \cap B = A \Rightarrow n (A \cap B) = n (A) = 17 n ((A \cup B) - (A \cap B)) = n (B - (A \cap B)) = n (B) - n (A) = 29 - 17 = 12 [∵ A \subset B]$

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