document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631015>Question 631015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a club is compose of 10members wish to elect officers from president to treasurer .how many sets of officer is possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397272 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a club is compose of 10members wish to elect officers from president to treasurer .how many sets of officer is possible?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since order is important, we are talking about a \"combination\".<BR>\n" );
document.write( "And, it depends on how many officers there are.  <BR>\n" );
document.write( "For example, if the officers are:<BR>\n" );
document.write( "president<BR>\n" );
document.write( "vice president<BR>\n" );
document.write( "secretary<BR>\n" );
document.write( "treasurer<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "10C4<BR>\n" );
document.write( "= 10!/4!(10-4)!<BR>\n" );
document.write( "= 10!/4!6!<BR>\n" );
document.write( "= (7*8*9*10)/(1*2*3*4)<BR>\n" );
document.write( "= (7*2*9*10)/(1*2*3)<BR>\n" );
document.write( "= (7*9*10)/(3)<BR>\n" );
document.write( "= 7*3*10<BR>\n" );
document.write( "= 21*10<BR>\n" );
document.write( "= 210<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );