document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121364>Question 1121364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three boys and three girls went to see a movie together. There are 6 adjacent empty seats left in the auditorium. How many possible ways are there for them to sit in the 6 adjacent seats if no two boys sit next to each other and no two girls sit next to each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737232 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 2 possible patterns of seating -\r<BR>\n" );
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document.write( "BGBGBG\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "GBGBGB\r<BR>\n" );
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document.write( "For each of these the girls have 3! ways to sit and the boys, also 3!, which results in 6 x 6 =36 ways for each pattern. Therefore 72 is the total among the 2 patterns.\r<BR>\n" );
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document.write( "72 </SPAN>\n" );
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