document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193261>Question 1193261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different sums of money can be formed by choosing 1 or more coins <BR>\n" );
document.write( "from 4 different kinds of coins? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825269 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=825269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Formally, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4 ALIGN=MIDDLE  ALT=\"2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16 different subsets, including empty subset and improper subset.\r<BR>\n" );
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document.write( "So, we can expect 16 different sums *), in general case, including the zero sum as one of possible options.\r<BR>\n" );
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document.write( "If choosing one or more coins, then the answer is 15 different sums.\r<BR>\n" );
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document.write( "*) if there is no degeneracy . . . \r<BR>\n" );
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