document.write( "Question 1091037: In using Venn diagram
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document.write( "Out of 100 students 33 students are taking English subjects only while 42 students are taking mathematics only.
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document.write( "How many students are taking both English and mathematics? \n" );
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Algebra.Com's Answer #705496 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Consider these three subsets:\r\n" ); document.write( "\r\n" ); document.write( " a) 33 students taking English only;\r\n" ); document.write( "\r\n" ); document.write( " b) 42 students taking Math only;\r\n" ); document.write( "\r\n" ); document.write( " c) taking both English and Math.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "These subsets have empty intersections (obviously).\r\n" ); document.write( "\r\n" ); document.write( "Taken together, they cover the entire set of 100 students.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the subset of those taking both English and Math counts exactly 100 - 33 - 42 students.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |