document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159379>Question 159379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are six people, six seats. What is the probability that both the youngest girl and the eldest boy (3 girls, 3 boys in total) are seated at each end?<BR>\n" );
document.write( "(yes, this one is easy...but the next question i don't get at all...)<BR>\n" );
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document.write( "What is the probability that exactly one of them (not at least, but exactly one of them) gets seated at the end?\r<BR>\n" );
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document.write( "Thanks for any help at all! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117524 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are six people, six seats. What is the probability that both the youngest girl and the eldest boy (3 girls, 3 boys in total) are seated at each end?<BR>\n" );
document.write( "(yes, this one is easy...but the next question i don't get at all...)<BR>\n" );
document.write( "# of ways to place the youngest and eldest as described: 2<BR>\n" );
document.write( "# of ways to arrange the remaining 4: 4!  24<BR>\n" );
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document.write( "Total # of ways to get the pattern you want: 2*24 = 48<BR>\n" );
document.write( "Total # of ways to arrange the 6 with no restrictions: 6! = 720<BR>\n" );
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document.write( "Probability of succeeding : 48/720 = 0.066667<BR>\n" );
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document.write( "What is the probability that exactly one of them (not at least, but exactly one of them) gets seated at the end? <BR>\n" );
document.write( "# of ways to get one of them on the end: 2*2 = 4<BR>\n" );
document.write( "# of ways to place the one not on the end: 4<BR>\n" );
document.write( "# of ways to place the remaining 4: 4! = 24<BR>\n" );
document.write( "Total # of ways to succeed: 4*4*24 = 96<BR>\n" );
document.write( "Total # of ways to arrange the 6 with no restrictions: 72<BR>\n" );
document.write( "Probability of succeeding: 96/720 = 0.133333..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "# of ways <BR>\n" );
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