document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136121>Question 136121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate<BR>\n" );
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document.write( "   C<BR>\n" );
document.write( "15   9\r<BR>\n" );
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document.write( "Answers to this question would be much obliged..the 15 is supposed to be on left side of the C,sorry. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99682 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of combinations of 15 things taken 9 at a time is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%21%2F%289%21%2815-9%29%21%29 ALIGN=MIDDLE  ALT=\"15%21%2F%289%21%2815-9%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that 15! = 15 * 14 * 13 * 12 * 11 * 10 * 9!, and 15 - 9 = 6, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2A+14+%2A+13+%2A+12+%2A+11+%2A+10+%2A+9%21%29%2F%289%21%286%2A5%2A4%2A3%2A2%29%29 ALIGN=MIDDLE  ALT=\"%2815+%2A+14+%2A+13+%2A+12+%2A+11+%2A+10+%2A+9%21%29%2F%289%21%286%2A5%2A4%2A3%2A2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2A+14+%2A+13+%2A+12+%2A+11+%2A+10%29%2F%286%2A5%2A4%2A3%2A2%29 ALIGN=MIDDLE  ALT=\"%2815+%2A+14+%2A+13+%2A+12+%2A+11+%2A+10%29%2F%286%2A5%2A4%2A3%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (4 * 3 = 12, so eliminate 4 and 3 in the denominator and 12 in the numerator)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2A14%2A13%2A11%2A10%29%2F%286%2A5%2A2%29 ALIGN=MIDDLE  ALT=\"%2815%2A14%2A13%2A11%2A10%29%2F%286%2A5%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (6 is 2*3, 3*5 is 15 eliminating that factor, leaving a 2 and a 2 in the denominator, 2 into 14 is 7 and 2 into 10 is 5)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A13%2A11%2A5%29 ALIGN=MIDDLE  ALT=\"%287%2A13%2A11%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5005 ALIGN=MIDDLE  ALT=\"5005\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Or you can do it the hard way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1307674368000%2F%28%28362880%29%28720%29%29=5005 ALIGN=MIDDLE  ALT=\"1307674368000%2F%28%28362880%29%28720%29%29=5005\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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