document.write( "Question 1100288: In a survey of 100 students, the numbers taking various courses were found to be English, 70; mathematics, 45; chemistry, 60; English and mathematics, 30; English and chemistry, 38; mathematics and chemistry, 36; and courses in all three areas, 23. \n" ); document.write( "

Algebra.Com's Answer #714793 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Then the number of students of those 100 surveyed who took at least one course was\r\n" );
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document.write( "70 + 45 + 60 - (30+38+36) + 23 = 94,\r\n" );
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document.write( "and the number of those who took NO ONE of these courses was 100-94 = 6.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On this subject see the lessons\r
\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
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\n" ); document.write( "It is a beautiful problem, and I like to explain it to students in all details, but this time I was partly upset
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