document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199921>Question 1199921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr.Greenstamps posted a problem here:<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1134175.html\r<BR>\n" );
document.write( "\n" );
document.write( "Also, the original image link has expired, so here it is again for your reference: https://ibb.co/yNfgt93\r<BR>\n" );
document.write( "\n" );
document.write( "I would like some help understanding Mr.Greenstamps' solution.\r<BR>\n" );
document.write( "\n" );
document.write( "Firstly, I don't really understand the 4 units forward (\"F\"), 4 units left (L\"), and 4 units down (\"D\"). The \"4 units down\" in particular. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here's a diagram I made:<BR>\n" );
document.write( "https://ibb.co/qNnw2Bn\r<BR>\n" );
document.write( "\n" );
document.write( "Clearly, you can see that from A, you can only move UP, LEFT, or FORWARD. Perhaps my intuition here is wrong, but I'm not sure. Please let me know. \r<BR>\n" );
document.write( "\n" );
document.write( "Thanks!!<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 #833910 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=833910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Our two figures are not the same; we are moving different directions on the cube.<br><BR>\n" );
document.write( "But how we draw the figure does not change the answer.  We need to move 4 units in each of three directions; it doesn't matter how we name those three directions.  The number of different ways to do that is the number of ways of arranging the symbols AAAABBBBCCCC; that number is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%21%29%2F%28%284%21%29%284%21%29%284%21%29%29=34650 ALIGN=MIDDLE  ALT=\"%2812%21%29%2F%28%284%21%29%284%21%29%284%21%29%29=34650\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "---------------------------------------------------<br><BR>\n" );
document.write( "Since the links to the original figure and the original problem have been lost, I don't know what the original problem was.<br><BR>\n" );
document.write( "The solution above allows paths through the interior of the cube; if the paths must be on the surface of the cube, then the solution above is of course incorrect.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );