document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186515>Question 1186515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are three trails to the top of a mountain. In how many different<BR>\n" );
document.write( "ways can a person hike up and down the mountain if<BR>\n" );
document.write( "(a) she wants to take the same trail both ways?<BR>\n" );
document.write( "(b) she can, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28but_need_not%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28but_need_not%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <U>although it is not necessary</U>, take the same trail both ways?<BR>\n" );
document.write( "(c) she does not want to take the same trail both ways </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817439 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "\r\n" );
document.write( "(a)  In three ways.   It is so OBVIOUS that does not require justifications.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  She can select any of the 3 trails up and any of the 3 trails down.\r\n" );
document.write( "\r\n" );
document.write( "     In all, there are 3*3 = 9 different ways.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c)  For any of the three trails up, she can choose any of the two remaining trails down.\r\n" );
document.write( "\r\n" );
document.write( "     In all, there are 3*(3-1) = 3*2 = 6 different choices.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solved and thoroughly explained.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "/////////////\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From my post, &nbsp;learn two things:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1)  &nbsp;&nbsp;How to make an analysis,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;and\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2) &nbsp;&nbsp;How to use appropriate English words correctly in &nbsp;Math problems.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );