document.write( "Question 437581: 55 freshman were interviewed about the classes they were taking this semester.
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document.write( "21 said they were taking math.
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document.write( "15 said they were taking english.
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document.write( "26 said they were taking science.
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document.write( "8 said they were taking both science and math.
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document.write( "6 said they were taking both science and english.
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document.write( "3 said they were taking both math and english.
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document.write( "2 said they were taking all three classes.\r
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document.write( "How many students are not taking any science, math, or english?
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document.write( "How many students are taking exactly one of science, math, or english? \n" );
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Algebra.Com's Answer #302755 by robertb(5830)![]() ![]() You can put this solution on YOUR website! No Venn Diagrams needed here, just the General addition law for counting:\r \n" ); document.write( "\n" ); document.write( "N(m U e U s) = N(m) + N(e) + N(s) - N(me)- N(sm) - N(se) + N(mes) = 21 + 15 + 26 - 3 - 8 - 6 + 2 = 47 students are taking exactly one of science, math, or English.\r \n" ); document.write( "\n" ); document.write( "55 - 47 = 8 are not taking any science, math, or English. \n" ); document.write( " |