document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=435577>Question 435577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other?\r<BR>\n" );
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document.write( "thanks a lot . . . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301437 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=301437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First line up the men.  There are 8! ways of doing that.  Now put the 5 women in any of the 9 spaces possible (in-between the men, in front, at the back).  This can be done in 9P5 ways.  Hence there are 8!*9P5 = 609,638,400 total number of ways. </SPAN>\n" );
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