document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594161>Question 594161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 18 entrees available at a restaurant. From these, Archie is to choose 4 for his party. How many groups of  entrees can he choose, assuming that the order of the entrees chosen does not matter?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376640 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C(n,r) = (n!)/(r!(n-r)!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = (18!)/(4!*(18-4)!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = (18!)/(4!*14!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = (18*17*16*15*14!)/(4!*14!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = (18*17*16*15)/(4!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = (18*17*16*15)/(4*3*2*1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = (73440)/(24)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(18,4) = 3060\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So there are <font color=\"red\">3,060</font> different groups. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );