document.write( "Question 1127574: The freshman class at a college has a total of 250 students. One hundred and ten freshmen take math and 200 take English, while 75 take neither. How many freshman take both math and English? \n" ); document.write( "

Algebra.Com's Answer #744025 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "You have an universal set of 250 elements and two its subsets, M (=Math) of 110 elements and E (=English) of 200 elements.\r\n" );
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document.write( "The union of the subsets M and E contains 250-75 = 175 elements.\r\n" );
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document.write( "Now use the formula\r\n" );
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document.write( "    n(M U E) = n(M) + n(E) - n(M n E)\r\n" );
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document.write( "for the numbers of elements.\r\n" );
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document.write( "From this formula,\r\n" );
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document.write( "    n(M n E) = n(M) + n(E) - n(M U E) = 110 + 200 - 175 = 135.\r\n" );
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document.write( "Answer.  135 freshman take both Math and English.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r
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