document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176974>Question 176974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find n so that nC3=nP2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132022 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=132022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find n so that nC3=nP2\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "n!/[(n-3)!*3!] = n!/(n-2)!\r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by n! to get:<BR>\n" );
document.write( "1/[(n-3)!*6] = 1/(n-2)!\r<BR>\n" );
document.write( "\n" );
document.write( "Invert to get:\r<BR>\n" );
document.write( "\n" );
document.write( "6(n-3)! = (n-2)*(n-3)!\r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by (n-3)! to get:\r<BR>\n" );
document.write( "\n" );
document.write( "6 = (n-2)<BR>\n" );
document.write( "n = 8<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );