document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164083>Question 1164083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Logic: Set and operations - Cardinal numbers and surveys\r<BR>\n" );
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document.write( "A student conducted a survey at her school to find out the top goals<BR>\n" );
document.write( "students currently have. Let W = the set of those who want to get rich, <BR>\n" );
document.write( "F = the set of those who want to start a family, and E = the set of those <BR>\n" );
document.write( "who want to become experts in their fields. The student's findings were: <BR>\n" );
document.write( "n (W) = 160; n (F) = 140; n (E) = 130; n (W∩F) = 95; n (E∩F) = 90; <BR>\n" );
document.write( "n (W∩F∩E) = 80; n (E ') = 95; n [(W∪F∪E)'] = 10. Find the total number of<BR>\n" );
document.write( "students interviewed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788398 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "The total number of students in the school is  n(E) + n(E') = 130 + 95 = 225.\r\n" );
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document.write( "The number of those who was not interviewed is n([(W U F U E)']) = 10  (given).\r\n" );
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document.write( "Hence, the number of those who WAS interviewed is the COMPLEMENT  225 - 10 = 215.    \r\n" );
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document.write( "     |   It is the  ANSWER to the problem's question.  |\r\n" );
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document.write( "All the rest info in the post is excessive, non-necessary and irrelevant.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "I like to get &nbsp;\"THANKS\" &nbsp;from students for my work and for my teaching.\r<BR>\n" );
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document.write( "So, &nbsp;I expect to get your &nbsp;\"DEEPEST THANKS\" &nbsp;soon.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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