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Question Number 33663 by mondodotto@gmail.com last updated on 21/Apr/18

$$\mathbf{Qn}:\left(\mathbf{a}\right)$$$$\mathbf{given}\mathbf{A}\mathbf{and}\mathbf{B}\mathbf{are}\mathbf{disjoint}\mathbf{sets}$$$$\mathbf{shade}\mathbf{in}\mathbf{venn}\mathbf{diagram}$$$$\left(\mathbf{i}\right)\mathbf{B}\cap \mathbf{C}\left(\mathbf{ii}\right)\mathbf{A}-(\mathbf{B}\cup \mathbf{C})\left(\mathbf{iii}\right)(\mathbf{B}\cup \mathbf{C})-\mathbf{A}$$$$\mathbf{Qn}:\left(\mathbf{b}\right)$$$$\mathbf{G}\mathrm{i}\mathbf{ven}\mathbf{that}\mid \mathbf{A}\mid =19\mid \mathbf{B}\mid =23\mid \mathbf{C}\mid =24$$$$\mid \mathbf{A}\cup \mathbf{B}\mid =30\mid (\mathbf{A}\cap \mathbf{B})-\mathbf{C}\mid =5\mid (\mathbf{B}\cap \mathbf{C})\mid =10$$$$\mid {(\mathbf{A}\cup \mathbf{B})}^{{}^{\prime }}\mid =20\mathbf{and}\mid \mathbf{C}-(\mathbf{A}\cup \mathbf{B})\mid =10$$$$\mathbf{then}\mathbf{find}$$$$\left(\mathbf{i}\right)\mid (\mathbf{A}\cap \mathbf{C})\mid \left(\mathbf{ii}\right)\mid \left(\mathbf{B}{-}^{\prime }\mathbf{C}\right){\mid }^{\prime }$$$$\left(\mathbf{iii}\right)\mid \mathit{\mu }\mid \left(\mathrm{iv}\right)\mid ({\mathbf{B}}^{\prime }\cup \mathbf{C})\cap {\mathbf{A}}^{\prime }\mid$$

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