document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183998>Question 1183998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Valentina, Luke, Sally, Han and Mae are to be placed in a line in random order.\r<BR>\n" );
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document.write( "What is the probability that the boys will be next to each other and the girls will all be 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 #814519 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=814519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Assuming those names are 3 girls and 2 boys, the arrangements are either GGGBB or BBGGG; that's 2 possibilities.<br><BR>\n" );
document.write( "Within the group of 2 boys the number of possible arrangements is 2!=2; within the group of 3 girls the number of possible arrangements is 3!=6.<br><BR>\n" );
document.write( "The total number of ways of arranging the 5 people is 2*2*6=24.<br><BR>\n" );
document.write( "The total number of possible arrangements without restrictions is 5!=120.<br><BR>\n" );
document.write( "The probability that the boys will be next to each other and the girls will be next to each other is 24/120 = 1/5.<br><BR>\n" );
document.write( "ANSWER: 1/5<br><BR>\n" );
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