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200 persons have a skin disease, our of which 120 presons are effected with chemical `C_(1)`, 50 with chemical `C_(2)` and 30 with chemical `C_(1) and C_(2)` both. Find the number of persons who (i) are effected with `C_(1) or C_(2)` (ii) are effected with `C_(1)` but not `C_(2)` (iii) are effected with `C_(2)` but not `C_(1)`. |
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Answer» Here `n(C_(1))=120,n(C_(2))=50,n(C_(1)capC_(2))=30and n(U)=200` (i) `n(C_(1)cupC_(2))=n(C_(1))+n(C_(2))-n(C_(1)capC_(2))` `=120+50-30=140` (ii) `n(C_(1)-C_(1))=n(C_(1))-n(C_(1)capC_(2))` `=120-30=90` (iii) `n(C_(2)-C_(1))=n(C_(2))-n(C_(1) cap C_(2))` `= 50 - 30 = 20`. |
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