document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840115>Question 840115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> arrange 10 people in a line so that 8 particular people are never together.\r<BR>\n" );
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document.write( "total no of ways : 10!<BR>\n" );
document.write( "8 are always together: 8!\r<BR>\n" );
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document.write( "So is it 10!-8!  ??????  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505940 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=505940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> arrange 10 people in a line so that 8 particular people are never together. <BR>\n" );
document.write( "total no of ways : 10!<BR>\n" );
document.write( "8 are always together: 8! <BR>\n" );
document.write( "So is it 10!-8! ?????? <BR>\n" );
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document.write( "Total # of random arrangements = 10!<BR>\n" );
document.write( "8 are always together = ?<BR>\n" );
document.write( "the block of 8 can be arranged in 8! ways<BR>\n" );
document.write( "The block and the 2 remaining people can be arranged in 3! = 6 ways<BR>\n" );
document.write( "So # of ways was the 8 to be together is 6*8!<BR>\n" );
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document.write( "Ans: 10! - 6*8! = 3386880 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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