document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194447>Question 1194447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IN HOW MANY WAYS CAN 6 INDIVIDUALS BE SEATED IN A ROUND TABLE WITH <BR>\n" );
document.write( "6 CHAIRS?<BR>\n" );
document.write( "A.) SUPPOSE 2 PERSONS WANTED TO BE SEATED SIDE BY SIDE ,IN HOW MANY<BR>\n" );
document.write( " WAYS CAN THEY DO IT?<BR>\n" );
document.write( "B.) IN HOW MANY WAYS CAN THESE 6 INDIVIDUALS ARRANGE THEMSELVES IF <BR>\n" );
document.write( "2 AMONG THEM REFUSE TO SIT TOGETHER? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826781 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20065)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IN HOW MANY WAYS CAN 6 INDIVIDUALS BE SEATED IN A ROUND TABLE <BR>\n" );
document.write( "WITH 6 CHAIRS?\r<BR>\n" );
document.write( "\n" );
document.write( "The table and chairs are all resting on a huge lazy Susan.  <BR>\n" );
document.write( "If it weren't on a huge lazy Susan, the answer would be 6!,<BR>\n" );
document.write( "but since we can turn the huge lazy Susan so that any one of<BR>\n" );
document.write( "the 6 can face north, we must divide by 6, making it 5! = 120<BR>\n" );
document.write( "ways.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A.) SUPPOSE 2 PERSONS WANTED TO BE SEATED SIDE BY SIDE ,IN HOW <BR>\n" );
document.write( "MANY WAYS CAN THEY DO IT?\r<BR>\n" );
document.write( "\n" );
document.write( "They can be seated together in 2 ways. Then there are 4 single <BR>\n" );
document.write( "people and one pair of people.  That would be 5! if the table <BR>\n" );
document.write( "weren't on a lazy susan. So we must divide by 5.  So the answer <BR>\n" );
document.write( "is (2)(4!) = 24.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B.) IN HOW MANY WAYS CAN THESE 6 INDIVIDUALS ARRANGE THEMSELVES <BR>\n" );
document.write( "IF 2 AMONG THEM REFUSE TO SIT TOGETHER?\r<BR>\n" );
document.write( "\n" );
document.write( "We subtract the 24 from the 120.  120-24 = 96 ways.\r<BR>\n" );
document.write( "\n" );
document.write( "Edwin</pre> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );