If sets A and B are disjoint sets, such that $$n(A$$∪$$B)=30$$ and $$n(A)=14$$, then $$n(B)=$$

A and B are disjoint ∴$$n(A$$∪$$B)=n(A)+n(B)$$⇒$$30=14+n(B)$$⇒$$n(B)=16$$

Operations on Sets

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Question

$If sets A and B are disjoint sets, such that n (A \cup B) = 30 and n (A) = 14, then n (B) =$

Easy

Solution

$\begin{array}{l} A and B are disjoint \\ ∴ n (A \cup B) = n (A) + n (B) \\ \Rightarrow 30 = 14 + n (B) \\ \Rightarrow n (B) = 16 \end{array}$

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