document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998322>Question 998322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let A = {1, 2, 3, 4, 5, 6}.<BR>\n" );
document.write( "(a) How many subsets of 4 elements does the set A have?<BR>\n" );
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document.write( "(b) How many subsets of A have no more than 3 elements?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616163 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</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=616163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let A = {1, 2, 3, 4, 5, 6}.<BR>\n" );
document.write( "(a) How many subsets of 4 elements does the set A have?\r<BR>\n" );
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document.write( "(b) How many subsets of A have no more than 3 elements?<BR>\n" );
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document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B6%5D%5E4 ALIGN=MIDDLE  ALT=\"C%5B6%5D%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2A5%29%2F%281%2A2%29 ALIGN=MIDDLE  ALT=\"%286%2A5%29%2F%281%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F2 ALIGN=MIDDLE  ALT=\"30%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 15.\r<BR>\n" );
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document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B6%5D%5E1 ALIGN=MIDDLE  ALT=\"C%5B6%5D%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B6%5D%5E2 ALIGN=MIDDLE  ALT=\"C%5B6%5D%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B6%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B6%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6 + 15 + 20 = 41.\r<BR>\n" );
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document.write( "Or &nbsp;42, &nbsp;if to add the empty subset.\r<BR>\n" );
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document.write( "Do you know what &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5Bn%5D%5Em ALIGN=MIDDLE  ALT=\"C%5Bn%5D%5Em\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;is?\r<BR>\n" );
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document.write( "If not, &nbsp;look into the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>&nbsp; in this site.\r<BR>\n" );
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