document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19188>Question 19188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can Abby, Bonnie, Chuck, Dennis, Ed and Fred line up at the water fountain so that the two girls are not beside each other? ____________ ways  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9335 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In how many ways can Abby, Bonnie, Chuck, Dennis, Ed and Fred line up at the water fountain so that the two girls are not beside each other? ____________ ways ..<BR>\n" );
document.write( "there are 2 girls and 4 boys...it is assumed that the question is for standing in a steraight line at the water fountain and not standing in a circle around the fountain<BR>\n" );
document.write( "in such a case let the 4 boys be made to stand first as say<BR>\n" );
document.write( "xxxxB1xxxxxB2xxxxxB3xxxxxB4xxxxx.........where B1,B2,B3 and B4 stand for 4 boys.now since the girls should not be together ,we can put them in the gaps between the boys OR on outer side of the last positioned boys..shown by xxxxx<BR>\n" );
document.write( "in the figure<BR>\n" );
document.write( "so now 4 boys can be arranged in 4*3*2*1=24 ways.<BR>\n" );
document.write( "2 girls can be arranged in 3+2=5 positions in 5*4=20 ways.<BR>\n" );
document.write( "so we have in all 24*20 =480 arrangements possible. </SPAN>\n" );
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