document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203935>Question 1203935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At an awards ceremony, nine women and seven men are each to receive an award and are to be presented with their award one at a time. Two of the awards are to be first given to two of the women, and then the remaining awards will alternate between men and women. How many ways can this be done?<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 #839862 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=839862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > women to choose from, and need to select <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of them. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C2%29+=+9%21+%2F+%282%21%2A%289+-+2%29%21%29+=+36 ALIGN=MIDDLE  ALT=\"C%289%2C2%29+=+9%21+%2F+%282%21%2A%289+-+2%29%21%29+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways\r<BR>\n" );
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document.write( " After the first two awards are given to women, there will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > men and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > women left to receive awards.\r<BR>\n" );
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document.write( "So, the total number of ways\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2814%2C7%29+=+%2814%21%29%2F%287%21%2A+7%21%29=3432 ALIGN=MIDDLE  ALT=\"C%2814%2C7%29+=+%2814%21%29%2F%287%21%2A+7%21%29=3432\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, the total number of ways:\r<BR>\n" );
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document.write( "Total ways <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C2%29%2AC%2814%2C7%29+=+36+%2A+%2814%21%29%2F%287%21%2A+7%21%29=36%2A3432=123552 ALIGN=MIDDLE  ALT=\"C%289%2C2%29%2AC%2814%2C7%29+=+36+%2A+%2814%21%29%2F%287%21%2A+7%21%29=36%2A3432=123552\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=123552+ ALIGN=MIDDLE  ALT=\"123552+\"   DISABLED_style= \"max-width:90%; height:auto;\" >ways.\r<BR>\n" );
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