If-is-a-universal-set-and-A-B-C-are-3-sets-Given-that-n-52-n-A-B-26-and-n-A-C-32-find-n-A-n-B-and-n-C-

Question Number 36389 by Rio Mike last updated on 01/Jun/18

$$\:\mathrm{If}\:\mu\:\mathrm{is}\:\mathrm{a}\:\mathrm{universal}\:\mathrm{set}\:\mathrm{and}\:\mathrm{A},\mathrm{B},\mathrm{C}\:\mathrm{are} \\ $$$$\mathrm{3}\:\mathrm{sets}\:.\:\:\:\mathrm{Given}\:\mathrm{that}\: \\ $$$$\mathrm{n}\left(\mu\right)=\:\mathrm{52}\:\:,\:\mathrm{n}\left(\mathrm{A}\cap\mathrm{B}\right)\:=\:\mathrm{26}\:\mathrm{and}\: \\ $$$$\mathrm{n}\left(\mathrm{A}\:\cup\:\mathrm{C}\right)\:=\:\mathrm{32}\:\mathrm{find}\:\mathrm{n}\left(\mathrm{A}\right),\mathrm{n}\left(\mathrm{B}\right)\:\mathrm{and} \\ $$$$\mathrm{n}\left(\mathrm{C}\right) \\ $$

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