document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019413>Question 1019413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose A= {a,b,c,d,e,f}.\r<BR>\n" );
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document.write( "How many subsets does A have?<BR>\n" );
document.write( "How many proper subsets does A have?<BR>\n" );
document.write( "How many subsets does A have that include the element b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635331 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since there are 6 distinct elements in the set A, the number of subsets of A is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E6 ALIGN=MIDDLE  ALT=\"2%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 64.  The number of proper subsets would be 64 - 1 = 63 (i.e., exclude the set A itself).  The number of subsets that include b would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E5 ALIGN=MIDDLE  ALT=\"2%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=32. </SPAN>\n" );
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