document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748639>Question 748639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Seven flute players are listed in the program in random order. How many different ways can the names be listed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455546 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming they all have different names 7!\r<BR>\n" );
document.write( "\n" );
document.write( "(counting principle)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Take a look:\r<BR>\n" );
document.write( "\n" );
document.write( "7 ways to list first name<BR>\n" );
document.write( "6 ways for the second<BR>\n" );
document.write( "5 for the third<BR>\n" );
document.write( "4 the fourth<BR>\n" );
document.write( "3 fifth<BR>\n" );
document.write( "2 sixth<BR>\n" );
document.write( "1 last\r<BR>\n" );
document.write( "\n" );
document.write( "the total number of ways is the product:\r<BR>\n" );
document.write( "\n" );
document.write( "(7)(6)(5)(4)(3)(2)(1)=7!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this clears things up<BR>\n" );
document.write( ":) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );