document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233615>Question 233615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can 7 people be seated in a row if two of them, Eddie and John, refuse to sit next to each other?<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 #172410 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=172410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In how many ways can 7 people be seated in a row if two of them, Eddie and John, refuse to sit next to each other?<BR>\n" );
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document.write( "Find # of ways to place Eddie and John?<BR>\n" );
document.write( "# of ways to put them together = 2*6 = 12<BR>\n" );
document.write( "# of ways to put them without restriction: 7C2 = 2*21<BR>\n" );
document.write( "Therefore # of ways to seat them not together = 2*21-12 = 30<BR>\n" );
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document.write( "# of ways to place the other 5 people = 5!<BR>\n" );
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document.write( "Therefore # of ways to meet the problems conditions: 30*5! = 3600<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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