document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=788727>Question 788727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Students Union council will elect a new Executive Committee, including one president, two vice presidents, three secretaries from 15 candidates. How many arrangements are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484238 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahelp101><B>algebrahelp101(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahelp101><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=484238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one president + 2 vice presidents + 3 secretaries from 15 candidates<BR>\n" );
document.write( "1 + 2 + 3 = 6<BR>\n" );
document.write( "n= 15<BR>\n" );
document.write( "k= 6<BR>\n" );
document.write( "C { n,k ) = n!<BR>\n" );
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document.write( "k! * (n-k)!<BR>\n" );
document.write( "15!<BR>\n" );
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document.write( "6! * (15-6)!<BR>\n" );
document.write( "15!<BR>\n" );
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document.write( "6! * 9!<BR>\n" );
document.write( "1307674368000<BR>\n" );
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document.write( "261273600\r<BR>\n" );
document.write( "\n" );
document.write( "= 5005 arrangements  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );