document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629234>Question 629234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eight people, all of different heights, are to be seated in a row. Neither the tallest person nor the shortest person is seated at either end of the row.\r<BR>\n" );
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document.write( "a.) how many different seating arrangements are possible?\r<BR>\n" );
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document.write( "b.) what is the probability that the tallest and shortest people are sitting 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 #396128 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=396128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Eight people, all of different heights, are to be seated in a row. Neither the tallest person nor the shortest person is seated at either end of the row. <BR>\n" );
document.write( "a.) how many different seating arrangements are possible?<BR>\n" );
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document.write( "# of ways to succeed: <BR>\n" );
document.write( "1st position: 6 ways<BR>\n" );
document.write( "8th position: 5 ways<BR>\n" );
document.write( "2nd thru 7th positions: 6! ways<BR>\n" );
document.write( "Total ways: 30*6! = 21600<BR>\n" );
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document.write( "b.) what is the probability that the tallest and shortest people are sitting next to each other?<BR>\n" );
document.write( "# of ways to succeed: <BR>\n" );
document.write( "1st position: 6 ways<BR>\n" );
document.write( "8th position: 5 ways<BR>\n" );
document.write( "2nd thru 7th positions: 2*5! = 240 (treat the 2 persons as one)<BR>\n" );
document.write( "Ans: Probability = (6*5*240)/21600 = 1/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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