document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132775>Question 1132775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6girls and 2 boys are to be seated in a row.Find the number of ways that this can be done if the 2boys must have exactly 4girls seated between them. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749892 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are 8 seats; to have 4 girls between the 2 boys, the boys can be in any of three pairs of seats -- 1st and 6th, 2nd and 7th, or 3rd and 8th.  So<br><BR>\n" );
document.write( "(1) 3 ways to choose the two seats for the boys.<br><BR>\n" );
document.write( "In those two seats, the two boys can be in either of two orders:<br><BR>\n" );
document.write( "(2) 2 ways to choose which boy is in which seat.<br><BR>\n" );
document.write( "Then the 6 girls can be seated in the remaining 6 seats in 6! ways.<br><BR>\n" );
document.write( "(3) 6!=720 ways to seat the 6 girls.<br><BR>\n" );
document.write( "Total number of ways: 3*2*720 = 4320 </SPAN>\n" );
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