document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122549>Question 1122549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Seven students, including Jack and Jill, sit randomly in a row of seven chairs. \r<BR>\n" );
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document.write( "What is the probability that Jill is sitting in the first chair? \r<BR>\n" );
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document.write( "What is the probability that Jill is sitting in the first chair and Jack is not sitting in the second chair? \r<BR>\n" );
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document.write( "Enter your answers as fractions in lowest terms.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739766 by </B><A HREF=/tutors/aboutme.mpl?userid=Alex.33><B>Alex.33(110)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alex.33><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=Alex.33><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of all possibilities: 7P7=7!\r<BR>\n" );
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document.write( "The number of the cases where Jill has the first chair: 6P6(since Jill has had the first chair, the variable is just the rest 6 chairs)=6!<BR>\n" );
document.write( "P(Jill in first chair)=6!/7!=1/7.\r<BR>\n" );
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document.write( "The number of the cases where Jill has the first and Jack has the second: 5P5=5!<BR>\n" );
document.write( "P(Jill in first and Jack not in second)=(6!-5!)/7!=5/42.\r<BR>\n" );
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document.write( "And we're done.<BR>\n" );
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