Qn-a-given-A-and-B-are-disjoint-sets-shade-in-venn-diagram-i-B-C-ii-A-B-C-iii-B-C-A-Qn-b-Given-that-A-19-B-23-C-24-A-B-30-A-B-C-5-B-C-10-A-B-20-and-C-A-B-

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

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

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