Math, asked by Anonymous, 10 months ago

Needed full explanation of question 8.​

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Answered by Anonymous
5

★ Answer

→ Refer to the attachment

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Answered by Anonymous
5

\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}

{\bf{\green{let}}}{\bf{\green{'x' }}}{\bf{\green{be}}}{\bf{\green{the}}}{\bf{\green{set}}}{\bf{\green{of}}}{\bf{\green{people }}}{\bf{\green{in}}}{\bf{\green{the}}}{\bf{\green{committe}}}{\bf{\green{who}}}{\bf{\green{speak}}}{\bf{\green{French,}}}{\bf{\orange{and}}}{\bf{\pink{'Y' }}}{\bf{\pink{be}}}{\bf{\pink{the}}}{\bf{\pink{set}}}{\bf{\pink{of}}}{\bf{\pink{people }}}{\bf{\pink{in}}}{\bf{\pink{the}}}{\bf{\pink{committe}}}{\bf{\pink{who}}}{\bf{\pink{speak }}}{\bf{\pink{Spanish}}}

{\bf{\blue{NO. }}}{\bf{\blue{of}}}{\bf{\blue{people }}}{\bf{\blue{who}}}{\bf{\blue{speak }}}{\bf{\blue{French }}}{\bf{\blue{=n(X) }}}{\bf{\blue{=50}}}

{\bf{\red{NO.}}}{\bf{\red{of }}}{\bf{\red{people }}}{\bf{\red{who }}}{\bf{\red{speak }}}{\bf{\red{Spanish }}}{\bf{\red{=n(Y) }}}{\bf{\red{=20}}}

{\bf{\green{NO. }}}{\bf{\green{of}}}{\bf{\green{people }}}{\bf{\green{who }}}{\bf{\green{speak }}}{\bf{\green{both }}}{\bf{\red{French }}}{\bf{\green{and}}}{\bf{\pink{Spanish}}}{\bf{\green{=n(X∩Y) }}}{\bf{\green{=10}}}

{\bf{\orange{people }}}{\bf{\orange{who}}}{\bf{\orange{speak }}}{\bf{\orange {at least }}}{\bf{\orange {one}}}{\bf{\orange{language }}}{\bf{\orange{=n(XUY) }}}{\bf{\blue{=? }}}

WKT,

{\bf{\green{n(XUY)=}}}{\bf{\pink{n(X) +n(Y) }}}{\bf{\blue{-n(X∩Y) }}}

{\bf{\red{=>n(XUY) =50+20-10}}}

{\bf{\blue{=>n(XUY)=70-10}}}

{\bf{\pink{=>n(XUY)=60}}}

{\bf{\green{therefore, }}}{\bf{\orange{in the}}}{\bf{\blue{committe}}}{\bf{\red{speak }}}{\bf{\green{at least }}}{\bf{\pink{one}}}{\bf{\blue{of }}} {\bf{\green{two }}}{\bf{\red{languages}}}{\bf{\blue{=60}}}

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