document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025984>Question 1025984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a given set has nine elements, how many of its subsets have at least five elements? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641267 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 2^9 subsets, and exactly half of them (2^8 = 256) contain at least five elements by symmetry. \r<BR>\n" );
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document.write( "If you have a subset with fewer than five elements, then its complement will contain at least five elements.\r<BR>\n" );
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