document.write( "Question 1205866: A survey of a group's web habits for the past month obtained the following information.\r
\n" ); document.write( "\n" ); document.write( "30% visited Facebook.
\n" ); document.write( "38% visited LinkedIn.
\n" ); document.write( "36% visited Google.
\n" ); document.write( "16% visited Facebook and LinkedIn.
\n" ); document.write( "16% visited Facebook and Google.
\n" ); document.write( "18% visited LinkedIn and Google.
\n" ); document.write( "9% visited all three sites.\r
\n" ); document.write( "\n" ); document.write( "Find the percentage that visited none of these three sites last month.\r
\n" ); document.write( "\n" ); document.write( "Hint: Draw a Venn diagram for three sets. Then label appropriate parts from the given information.
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Algebra.Com's Answer #842933 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the percentage of those who visited at least on of the three sites.\r\n" );
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document.write( "Use the Inclusion-Exclusion principle/formula\r\n" );
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document.write( "    30% + 38% + 36% - 15% - 16% - 18% + 9% = 64%.\r\n" );
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document.write( "The percentage of those who visited none of these three sites last month \r\n" );
document.write( "is the complement of 64% to 100%, i.e.  100% - 64% = 36%.\r\n" );
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document.write( "ANSWER.  36%.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "On inclusion-exclusion principle,  see this Wikipedia article\r
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\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Inclusion%E2%80%93exclusion_principle\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar  (and different)  solved problems,  see the lessons\r
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\n" ); document.write( "\n" ); document.write( "    - Counting elements in sub-sets of a given finite set\r
\n" ); document.write( "\n" ); document.write( "    - Advanced problems on counting elements in sub-sets of a given finite set\r
\n" ); document.write( "\n" ); document.write( "    - Challenging problems on counting elements in subsets of a given finite set \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems on counting elements in subsets of a given finite set \r
\n" ); document.write( "\n" ); document.write( "    - Inclusion-Exclusion principle problems \r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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