document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234708>Question 234708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the value of n which make the following statment true:<BR>\n" );
document.write( "(1/2) nP7= n-2P5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173053 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=173053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the value of n which make the following statment true:<BR>\n" );
document.write( "(1/2) nP7= n-2P5<BR>\n" );
document.write( "(1/2)n!/(n-7)! = (n-2)!/(n-7)!<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The denominators are equal so equate the numerators:<BR>\n" );
document.write( "(1/2)n! = (n-2)!<BR>\n" );
document.write( "Divide both sides by (n-2)!<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "(1/2)n(n-1) = 1<BR>\n" );
document.write( "n(n-1) = 2<BR>\n" );
document.write( "n^2-n-2 = 0<BR>\n" );
document.write( "(n-2)(n+1) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "n = 2<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Hmmmm?  That answer does not make sense because<BR>\n" );
document.write( "you cannot have 2P7 in the original equation.<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );