document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481764>Question 481764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will Someone Help Me With This Problem?\r<BR>\n" );
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document.write( "In a survey of four-year colleges and universities, it was found that:\r<BR>\n" );
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document.write( "356 offered a liberal arts degree.<BR>\n" );
document.write( "293 offered a computer engineering degree<BR>\n" );
document.write( "285 offered a nursing degree.<BR>\n" );
document.write( "193 offered a liberal arts degree and a computer engineering degree.<BR>\n" );
document.write( "200 offered a liberal arts degree and a nursing degree.<BR>\n" );
document.write( "139 offered a computer engineering degree and a nursing degree.<BR>\n" );
document.write( "68 offered a liberal arts degree, a computer engineering degree, and a nursing degree.<BR>\n" );
document.write( "26 offered none of these degrees.\r<BR>\n" );
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document.write( "a) How many four-year colleges and universities were surveyed?\r<BR>\n" );
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document.write( "Of the four-year colleges and universities surveyed, how many offered:<BR>\n" );
document.write( "b) a liberal arts degree and a nursing degree, but not a computer engineering degree?<BR>\n" );
document.write( "c) a computer engineering degree, but neither a liberal arts degree nor a nursing degree?<BR>\n" );
document.write( "d) exactly two of these degrees?<BR>\n" );
document.write( "e) at least one of these degrees?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329853 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=329853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Will Someone Help Me With This Problem? <BR>\n" );
document.write( "In a survey of four-year colleges and universities, it was found that: <BR>\n" );
document.write( "356 offered a liberal arts degree.<BR>\n" );
document.write( "293 offered a computer engineering degree<BR>\n" );
document.write( "285 offered a nursing degree.<BR>\n" );
document.write( "193 offered a liberal arts degree and a computer engineering degree.<BR>\n" );
document.write( "200 offered a liberal arts degree and a nursing degree.<BR>\n" );
document.write( "139 offered a computer engineering degree and a nursing degree.<BR>\n" );
document.write( "68 offered a liberal arts degree, a computer engineering degree, and a nursing degree.<BR>\n" );
document.write( "26 offered none of these degrees. <BR>\n" );
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document.write( "Draw a Venn diagram: a rectangle containing 3 intersecting circles.<BR>\n" );
document.write( "The rectangle contains 256<BR>\n" );
document.write( "Inside the rectangle but not in any circle you have 26<BR>\n" );
document.write( "The intersection of all three circles has 68<BR>\n" );
document.write( "139-68 = 71 are in the intersection of comp/eng and nursing but not<BR>\n" );
document.write( "in the intersection of the three circles.<BR>\n" );
document.write( "Do the same for each of the intersecting pieces of comp/eng and lib,<BR>\n" );
document.write( "and nursing and lib.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "a) How many four-year colleges and universities were surveyed? <BR>\n" );
document.write( "Of the four-year colleges and universities surveyed, how many offered:<BR>\n" );
document.write( "b) a liberal arts degree and a nursing degree, but not a computer engineering degree?<BR>\n" );
document.write( "c) a computer engineering degree, but neither a liberal arts degree nor a nursing degree?<BR>\n" );
document.write( "d) exactly two of these degrees?<BR>\n" );
document.write( "e) at least one of these degrees? \r<BR>\n" );
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document.write( " </SPAN>\n" );
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