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Question-21013




Question Number 21013 by aplus last updated on 10/Sep/17
Commented by aplus last updated on 10/Sep/17
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$$\mathrm{hhelp}\:\mathrm{guyselp}\:\mathrm{guys} \\ $$
Answered by Tinkutara last updated on 10/Sep/17
n(P∩C)=x,n(P)=3x,n(C)=6x  n(P−C)=2x,n(C−P)=5x  ⇒2x+x+5x=40⇒x=5  Only physics=2x=10
$${n}\left({P}\cap{C}\right)={x},{n}\left({P}\right)=\mathrm{3}{x},{n}\left({C}\right)=\mathrm{6}{x} \\ $$$${n}\left({P}−{C}\right)=\mathrm{2}{x},{n}\left({C}−{P}\right)=\mathrm{5}{x} \\ $$$$\Rightarrow\mathrm{2}{x}+{x}+\mathrm{5}{x}=\mathrm{40}\Rightarrow{x}=\mathrm{5} \\ $$$${Only}\:{physics}=\mathrm{2}{x}=\mathrm{10} \\ $$

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