document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207634>Question 1207634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Starting with the A and moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "        A<BR>\n" );
document.write( "     RRR<BR>\n" );
document.write( "  CCCCC<BR>\n" );
document.write( "HHHHHHHH </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845616 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=845616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem is not defined precisely.<br><BR>\n" );
document.write( "Since all the occurrences of each letter occur on a single row, there are no horizontal moves.<br><BR>\n" );
document.write( "For the same reason, a vertical move UP is not possible, so all vertical moves are down.<br><BR>\n" );
document.write( "The diagonal moves that are allowed are not well defined.<BR>\n" );
document.write( "(1) Can the diagonal moves be either down to the left or down to the right? or do they need to be down to the right?<BR>\n" );
document.write( "(2) Can the diagonal moves (whether left or right) \"jump\"?  For example, can you go from the 4th C to the 7th H?  Or from the 4th C can you only go to either the 3rd or 5th H (or perhaps only to the 5th H)?<br><BR>\n" );
document.write( "Re-post, defining the problem precisely.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );