document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243101>Question 243101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a dinner party with five fuests. I have 11 friends from which to choose as guests. \r<BR>\n" );
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document.write( "From how many different collections of five dinner guests can i choose if two are married to eachother and won't come seperatly?\r<BR>\n" );
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document.write( "From how many different collections of five dinner guests may she choose if two are divorced from eachother and refuse to come together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178125 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am having a dinner party with five guests. I have 11 friends from which to choose as guests. <BR>\n" );
document.write( "From how many different collections of five dinner guests can i choose if two are married to each other and won't come seperatly?<BR>\n" );
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document.write( "Treat those two married persons as one person.<BR>\n" );
document.write( "# of groups of 5 will be 10C5 = 1052<BR>\n" );
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document.write( "From how many different collections of five dinner guests may she choose if two are divorced from each other and refuse to come together?<BR>\n" );
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document.write( "Choose one of those divorced folks: 2 ways<BR>\n" );
document.write( "Choose 4 others to join that person: 9C4 = 126 ways<BR>\n" );
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document.write( "Total # of groups of 5: 2*126 = 252<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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