document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=663055>Question 663055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many subsets with more than two elements does a set with 100 elements have?<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 #412605 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=412605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> each element has 2 states, there or not there, so there are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E100 ALIGN=MIDDLE  ALT=\"2%5E100\"   DISABLED_style= \"max-width:90%; height:auto;\" > different ways of choosing sets there or not there, including none of them there (the empty set)\r<BR>\n" );
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document.write( "so there are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E100+-+1 ALIGN=MIDDLE  ALT=\"2%5E100+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > non empty subsets\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100C1%2B100C2 ALIGN=MIDDLE  ALT=\"100C1%2B100C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=less ALIGN=MIDDLE  ALT=\"less\"   DISABLED_style= \"max-width:90%; height:auto;\" > elements\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E100+-+1-100C1-100C2+=+2%5E100+-1-100-4950+=+2%5E100-+5051 ALIGN=MIDDLE  ALT=\"2%5E100+-+1-100C1-100C2+=+2%5E100+-1-100-4950+=+2%5E100-+5051\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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