document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151446>Question 151446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can 10 people be seated at a round table if 3 of them sit next to each other?\r<BR>\n" );
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document.write( "my answer is 10080. is it correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111333 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your answer seems low\r<BR>\n" );
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document.write( "the 3 together are a single position, leaving 7 other positions<BR>\n" );
document.write( "__ putting 8 things in 8 positions (order counts) 8P8 or 8!\r<BR>\n" );
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document.write( "with the round table, each arrangement is repeated 8 times<BR>\n" );
document.write( "__ with the difference being the \"starting point\" position<BR>\n" );
document.write( "__ if the only concern is who is next to who, then the number of arrangements is reduced by a factor of 8 to 7!\r<BR>\n" );
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document.write( "the 3 together can also have different arrangements<BR>\n" );
document.write( "__ 3 things in 3 positions (order counts) 3!\r<BR>\n" );
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document.write( "so the answer should be the product of 7! and 3! </SPAN>\n" );
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