document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315397>Question 315397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can 2 pictures, selected from a group of 5 different pictures, be arranged in a row on a wall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226220 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two positions to fill. \r<BR>\n" );
document.write( "\n" );
document.write( "In the first spot, there are five possibilities: A, B, C, D, or E. \r<BR>\n" );
document.write( "\n" );
document.write( "In the second spot there are four remaining possibilities (because one has already been selected for the first spot). \r<BR>\n" );
document.write( "\n" );
document.write( "If A is the first one, the second one could be one of the remaining four: <BR>\n" );
document.write( "AB<BR>\n" );
document.write( "AC<BR>\n" );
document.write( "AD<BR>\n" );
document.write( "AE\r<BR>\n" );
document.write( "\n" );
document.write( "If B is the first one, the second one could be one of the remaining four: <BR>\n" );
document.write( "BA<BR>\n" );
document.write( "BC<BR>\n" );
document.write( "BD<BR>\n" );
document.write( "BE\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If C is the first one, the second one could be one of the remaining four: <BR>\n" );
document.write( "CA<BR>\n" );
document.write( "CB<BR>\n" );
document.write( "CD<BR>\n" );
document.write( "CE\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If D is the first one, the second one could be one of the remaining four: <BR>\n" );
document.write( "DA<BR>\n" );
document.write( "DB<BR>\n" );
document.write( "DC<BR>\n" );
document.write( "DE\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If E is the first one, the second one could be one of the remaining four: <BR>\n" );
document.write( "EA<BR>\n" );
document.write( "EB<BR>\n" );
document.write( "EC<BR>\n" );
document.write( "ED\r<BR>\n" );
document.write( "\n" );
document.write( "Hence there are 20 possibilities. \r<BR>\n" );
document.write( "\n" );
document.write( "Actually, you don't even have to list them all out like this. Just recognize the pattern that there are 5 possibilities for the first one, and for each of them there are 4 for the second one (after the first has already been selected). Thus we multiply, 4 * 5 to get 20.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );