document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118806>Question 1118806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to determine the number of sets of the colors in a rainbow </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734236 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "There are 7 (seven) colors in a rainbow.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The number of all possible sub-sets of the set of 7 elements is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E7 ALIGN=MIDDLE  ALT=\"2%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, including the empty set and improper subset.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Probably, you will want to exclude the empty set.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then you will have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E7-1 ALIGN=MIDDLE  ALT=\"2%5E7-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > different subsets.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );