document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985236>Question 985236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the number of distinct sunsets and the number of distict proper subsets for each set. <BR>\n" );
document.write( "{x|x element N and 2< x < or equal to 6} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606066 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=606066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3C+x+%3C+=+6+ ALIGN=MIDDLE  ALT=\"2%3C+x+%3C+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then set is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2C4%2C5%2C6 ALIGN=MIDDLE  ALT=\"3%2C4%2C5%2C6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "total number of distinct subsets is:<BR>\n" );
document.write( "{}  <BR>\n" );
document.write( "{3} <BR>\n" );
document.write( "{4}<BR>\n" );
document.write( "{5} <BR>\n" );
document.write( "{6}<BR>\n" );
document.write( "{3, 4}<BR>\n" );
document.write( "{3, 5}<BR>\n" );
document.write( "{3, 6}<BR>\n" );
document.write( "{4, 5}<BR>\n" );
document.write( "{4, 6}<BR>\n" );
document.write( "{5, 6}<BR>\n" );
document.write( "{3, 4, 5}<BR>\n" );
document.write( "{3, 4, 6}<BR>\n" );
document.write( "{3, 5, 6}<BR>\n" );
document.write( "{4, 5, 6}<BR>\n" );
document.write( "{3, 4, 5, 6}  \r<BR>\n" );
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document.write( "(total: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" >) \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Proper subset is a subset which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > the same as the original set itself; so,distinct proper subsets are\r<BR>\n" );
document.write( "\n" );
document.write( "{}  <BR>\n" );
document.write( "{3} <BR>\n" );
document.write( "{4}<BR>\n" );
document.write( "{5} <BR>\n" );
document.write( "{6}<BR>\n" );
document.write( "{3, 4}<BR>\n" );
document.write( "{3, 5}<BR>\n" );
document.write( "{3, 6}<BR>\n" );
document.write( "{4, 5}<BR>\n" );
document.write( "{4, 6}<BR>\n" );
document.write( "{5, 6}<BR>\n" );
document.write( "{3, 4, 5}<BR>\n" );
document.write( "{3, 4, 6}<BR>\n" );
document.write( "{3, 5, 6}<BR>\n" );
document.write( "{4, 5, 6}\r<BR>\n" );
document.write( "\n" );
document.write( "(total: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );