document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=333324>Question 333324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 7 peole assigned in a queue. 5 men and 2 women. what is the probability that the 2 woman sit next to one another? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238873 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=238873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 7 people altogether, so they can be arranged in 7!=5040 ways.\r<BR>\n" );
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document.write( "Now, to find how many arrangments have the women next to each other, tie the women together and pretend they are one person. Now, we have 6 'people' that can be arranged in 6!=720 ways. But the two women can be arranged in 2 ways.<BR>\n" );
document.write( "So, the total arrangements with the women next to each other is 2*720=1440\r<BR>\n" );
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document.write( "Thus, the probability is 1440/5040=2/7 </SPAN>\n" );
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