document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165241>Question 165241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let c = {p,l,u,s}. How many subsets does c have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121821 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=121821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Subsets of c (16 total):\r<BR>\n" );
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document.write( "{p,l,u,s},<BR>\n" );
document.write( "{p,l,u},{p,l,s},{p,u,s},{l,u,s}<BR>\n" );
document.write( "{p,l},{p,u},{p,s},{l,u},{l,s},{u,s}<BR>\n" );
document.write( "{p},{l},{u},{s}<BR>\n" );
document.write( "{}\r<BR>\n" );
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document.write( "Note: {} denotes the empty set\r<BR>\n" );
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document.write( "To help confirm (not completely verify) that we have the right answer, notice how there are 16 subsets. It turns out that for any set A of \"n\" elements, the total number of subsets of set A is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En ALIGN=MIDDLE  ALT=\"2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since there are 4 elements in set c, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4=16 ALIGN=MIDDLE  ALT=\"2%5E4=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this helps confirm that we at least have the right number of subsets listed.  </SPAN>\n" );
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