document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146066>Question 1146066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help! <BR>\n" );
document.write( "A woman has 11 close friends. In how many ways can she invite 5 of them for dinner, if there are 2 who are not in good talking terms and so both can not be at the dinner, but at most one of them can be invited? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767366 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 9 \"regular\" friends and 2 \"other\" friends. (\"Other\" friends are friends that cannot both be invited at the same time.)  The woman can invite the following combinations:<BR>\n" );
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document.write( "5 regular friends and 0 other friends<BR>\n" );
document.write( "4 regular friends and 1 other friend<BR>\n" );
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document.write( "Ways to invite 5 regular friends and 0 other friends:<BR>\n" );
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document.write( "9C5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%21%2F%285%21%2A4%21%29 ALIGN=MIDDLE  ALT=\"9%21%2F%285%21%2A4%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 126<BR>\n" );
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document.write( "Ways to invite 4 regular friends and 1 other friend:<BR>\n" );
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document.write( "9C4 * 2C1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%21%2F%284%21%2A5%21%29 ALIGN=MIDDLE  ALT=\"9%21%2F%284%21%2A5%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%21%2F%281%21%2A1%21%29 ALIGN=MIDDLE  ALT=\"2%21%2F%281%21%2A1%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 126 * 2 = 252<BR>\n" );
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document.write( "So...there are a total of 126 + 252...or 378 ways she can do the invites. </SPAN>\n" );
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