document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950377>Question 950377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this, I know there is a calculation that can be done, but don't know what that is.\r<BR>\n" );
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document.write( "how many subsets and proper subsets are there fir {t,e,j,a,n,i,g,l}? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580303 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=580303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> subsets and proper subsets are there fir {t,e,j,a,n,i,g,l}\r<BR>\n" );
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document.write( "Recall, the number of subsets for set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28n%28A%29%29 ALIGN=MIDDLE  ALT=\"2%5E%28n%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28A%29 ALIGN=MIDDLE  ALT=\"n%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of elements in set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "in your case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28A%29=8 ALIGN=MIDDLE  ALT=\"n%28A%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you will have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E8=256 ALIGN=MIDDLE  ALT=\"2%5E8=256\"   DISABLED_style= \"max-width:90%; height:auto;\" >subsets  <BR>\n" );
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document.write( "recall that the empty set is a proper subset of any nonempty set<BR>\n" );
document.write( "recall that {a, b} is a proper subset of {a, b, c}, but {a, b, c} is not a proper subset of {a, b, c}\r<BR>\n" );
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document.write( "so, in your case there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=255 ALIGN=MIDDLE  ALT=\"255\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "all subsets  and proper subsets of {t,e,j,a,n,i,g,l}:\r<BR>\n" );
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document.write( " {},{t},{e},{j},{a},{n},{i},{g},{l},{t,e},{t,j},{t,a},{t,n},{t,i},{t,g},{t,l},{e,j},{e,a},{e,n},{e,i},{e,g},{e,l},{j,a},{j,n},{j,i},{j,g},{j,l},{a,n},{a,i},{a,g},{a,l},{n,i},{n,g},{n,l},{i,g},{i,l},{g,l},{t,e,j},{t,e,a},{t,e,n},{t,e,i},{t,e,g},{t,e,l},{t,j,a},{t,j,n},{t,j,i},{t,j,g},{t,j,l},{t,a,n},{t,a,i},{t,a,g},{t,a,l},{t,n,i},{t,n,g},{t,n,l},{t,i,g},{t,i,l},{t,g,l},{e,j,a},{e,j,n},{e,j,i},{e,j,g},{e,j,l},{e,a,n},{e,a,i},{e,a,g},{e,a,l},{e,n,i},{e,n,g},{e,n,l},{e,i,g},{e,i,l},{e,g,l},{j,a,n},{j,a,i},{j,a,g},{j,a,l},{j,n,i},{j,n,g},{j,n,l},{j,i,g},{j,i,l},{j,g,l},{a,n,i},{a,n,g},{a,n,l},{a,i,g},{a,i,l},{a,g,l},{n,i,g},{n,i,l},{n,g,l},{i,g,l},{t,e,j,a},{t,e,j,n},{t,e,j,i},{t,e,j,g},{t,e,j,l},{t,e,a,n},{t,e,a,i},{t,e,a,g},{t,e,a,l},{t,e,n,i},{t,e,n,g},{t,e,n,l},{t,e,i,g},{t,e,i,l},{t,e,g,l},{t,j,a,n},{t,j,a,i},{t,j,a,g},{t,j,a,l},{t,j,n,i},{t,j,n,g},{t,j,n,l},{t,j,i,g},{t,j,i,l},{t,j,g,l},{t,a,n,i},{t,a,n,g},{t,a,n,l},{t,a,i,g},{t,a,i,l},{t,a,g,l},{t,n,i,g},{t,n,i,l},{t,n,g,l},{t,i,g,l},{e,j,a,n},{e,j,a,i},{e,j,a,g},{e,j,a,l},{e,j,n,i},{e,j,n,g},{e,j,n,l},{e,j,i,g},{e,j,i,l},{e,j,g,l},{e,a,n,i},{e,a,n,g},{e,a,n,l},{e,a,i,g},{e,a,i,l},{e,a,g,l},{e,n,i,g},{e,n,i,l},{e,n,g,l},{e,i,g,l},{j,a,n,i},{j,a,n,g},{j,a,n,l},{j,a,i,g},{j,a,i,l},{j,a,g,l},{j,n,i,g},{j,n,i,l},{j,n,g,l},{j,i,g,l},{a,n,i,g},{a,n,i,l},{a,n,g,l},{a,i,g,l},{n,i,g,l},{t,e,j,a,n},{t,e,j,a,i},{t,e,j,a,g},{t,e,j,a,l},{t,e,j,n,i},{t,e,j,n,g},{t,e,j,n,l},{t,e,j,i,g},{t,e,j,i,l},{t,e,j,g,l},{t,e,a,n,i},{t,e,a,n,g},{t,e,a,n,l},{t,e,a,i,g},{t,e,a,i,l},{t,e,a,g,l},{t,e,n,i,g},{t,e,n,i,l},{t,e,n,g,l},{t,e,i,g,l},{t,j,a,n,i},{t,j,a,n,g},{t,j,a,n,l},{t,j,a,i,g},{t,j,a,i,l},{t,j,a,g,l},{t,j,n,i,g},{t,j,n,i,l},{t,j,n,g,l},{t,j,i,g,l},{t,a,n,i,g},{t,a,n,i,l},{t,a,n,g,l},{t,a,i,g,l},{t,n,i,g,l},{e,j,a,n,i},{e,j,a,n,g},{e,j,a,n,l},{e,j,a,i,g},{e,j,a,i,l},{e,j,a,g,l},{e,j,n,i,g},{e,j,n,i,l},{e,j,n,g,l},{e,j,i,g,l},{e,a,n,i,g},{e,a,n,i,l},{e,a,n,g,l},{e,a,i,g,l},{e,n,i,g,l},{j,a,n,i,g},{j,a,n,i,l},{j,a,n,g,l},{j,a,i,g,l},{j,n,i,g,l},{a,n,i,g,l},{t,e,j,a,n,i},{t,e,j,a,n,g},{t,e,j,a,n,l},{t,e,j,a,i,g},{t,e,j,a,i,l},{t,e,j,a,g,l},{t,e,j,n,i,g},{t,e,j,n,i,l},{t,e,j,n,g,l},{t,e,j,i,g,l},{t,e,a,n,i,g},{t,e,a,n,i,l},{t,e,a,n,g,l},{t,e,a,i,g,l},{t,e,n,i,g,l},{t,j,a,n,i,g},{t,j,a,n,i,l},{t,j,a,n,g,l},{t,j,a,i,g,l},{t,j,n,i,g,l},{t,a,n,i,g,l},{e,j,a,n,i,g},{e,j,a,n,i,l},{e,j,a,n,g,l},{e,j,a,i,g,l},{e,j,n,i,g,l},{e,a,n,i,g,l},{j,a,n,i,g,l},{t,e,j,a,n,i,g},{t,e,j,a,n,i,l},{t,e,j,a,n,g,l},{t,e,j,a,i,g,l},{t,e,j,n,i,g,l},{t,e,a,n,i,g,l},{t,j,a,n,i,g,l},{e,j,a,n,i,g,l},{t,e,j,a,n,i,g,l}\r<BR>\n" );
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document.write( " </SPAN>\n" );
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