document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083527>Question 1083527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the number of ways that 8 people could be seated around the table would be computed from<BR>\n" );
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document.write( "8 to the 8th power<BR>\n" );
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document.write( "8*8<BR>\n" );
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document.write( "8!<BR>\n" );
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document.write( "8!/4!4!<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 #697539 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=697539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"4\"><BR>\n" );
document.write( "Saying <font color=blue>\"8! is the answer\"</font> is tempting, but it's incorrect. \r<BR>\n" );
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document.write( "The actual answer is <font size=5 color=red>7!</font>. This is because there are 8 ways to rotate any given order, so we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%21%29%2F8+=+%288%2A7%21%29%2F8+=+7%21 ALIGN=MIDDLE  ALT=\"%288%21%29%2F8+=+%288%2A7%21%29%2F8+=+7%21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can think of it as setting one seat as the fixed seat. <BR>\n" );
document.write( "So we have 8-1 = 7 seats left to fill with 7 people. <BR>\n" );
document.write( "This is why you don't use the formula n! but instead (n-1)!\r<BR>\n" );
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document.write( "Check out these articles for further reading<BR>\n" );
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document.write( "<li><a  rel=nofollow HREF= \"https://www.dyclassroom.com/aptitude/circular-permutation\">https://www.dyclassroom.com/aptitude/circular-permutation</a> (scroll down a bit past the middle)</li><BR>\n" );
document.write( "<li><a  rel=nofollow HREF= \"https://math.illinoisstate.edu/day/courses/old/305/contentbasiccounting.html\">https://math.illinoisstate.edu/day/courses/old/305/contentbasiccounting.html</a> (scroll down to around the bottom)</li><BR>\n" );
document.write( "<li><a  rel=nofollow HREF= \"http://mathworld.wolfram.com/CircularPermutation.html\">http://mathworld.wolfram.com/CircularPermutation.html</a></li><BR>\n" );
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document.write( "Your teacher made a typo when coming up with the answer choices. <BR>\n" );
document.write( "This is something you should talk to your teacher about.\r<BR>\n" );
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document.write( "For now the next best choice is choice C) 8! <BR>\n" );
document.write( "(which is what I'm assuming your teacher is probably going for, but as explained above, it's incorrect).<BR>\n" );
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