document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108469>Question 108469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am doing permutation problems using the formula nPr = n!/(n-r)!. The problem I am having difficulty with is nP3 = 24. I can get it this far:\r<BR>\n" );
document.write( "\n" );
document.write( "n(n-1)(n-2)...2x1 / (n-3)(n-4)...2x1 = 24\r<BR>\n" );
document.write( "\n" );
document.write( "n(n-1)(n-2) = 24    Then I'm not sure how to finish. Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79130 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=79130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nP3 = 24<BR>\n" );
document.write( "n!/(n-3)! = 24<BR>\n" );
document.write( "n(n-1)(n-2)=24<BR>\n" );
document.write( "n(n^2-3n+2)=24<BR>\n" );
document.write( "n^3-3n^2+2n-24=0<BR>\n" );
document.write( "I graphed this and found n=4 is a solution.<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Checking:<BR>\n" );
document.write( "4P3 = 4!/(4-3)! = 4!/1! = 4! = 24<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );