document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404758>Question 404758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you have a group of six men and three women; you want to line them up so that no two women are standing next to each other. In how many ways can this be done?\r<BR>\n" );
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document.write( "I know there has to be an easier way to figure this out than to just write M/F in combination until all of the combination's are exhausted (which is the method my classmates have done, and they have answers ranging from 12 to 30 ways) - we just have not gone over the actual formulas for this, and I can't figure it out from the textbook.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286113 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "no. of ways to arrange 6 men = 6P6 = 6! \r<BR>\n" );
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document.write( "# M # M # M # M # M # M # \r<BR>\n" );
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document.write( "any women can be put at place # .  \r<BR>\n" );
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document.write( "total no. of place= 7\r<BR>\n" );
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document.write( "no. of ways to put 3 women at 7 places = 7P3 = 210\r<BR>\n" );
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document.write( "total no. of ways to arrange 6 men and 3 women = 151200\r<BR>\n" );
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document.write( "here the concept is : \r<BR>\n" );
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document.write( "there is no restriction with men so firstly arrange men and after arranging them \r<BR>\n" );
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document.write( "at N places, arrange the women at (N+1)places....  <BR>\n" );
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