document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115877>Question 1115877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter has 12 colors of paint available. When painting a house, the painter needs to choose a main color, trim color, accent color and siding color, and all of the must be different from one another. How many ways are there for the painter to pick colors for the house ?  \r<BR>\n" );
document.write( "\n" );
document.write( "My work :\r<BR>\n" );
document.write( "\n" );
document.write( "12P4 = 11880<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730706 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "12P4 if it is important which color is for which application -- that is, if for example one color is fine for a trim color but not for the main color.<br><BR>\n" );
document.write( "But if any of the colors can be used for any application, then this is a combination instead of a permutation, so 12C4 = 495. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );