document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342821>Question 342821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12 individuals are part of a group of trustees of a particular company.  There are 5 positions that need to be filled on the board.  How many different ways can the board positions be filled? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245397 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the 5 questions selected there are 5! = 120 arrangements.<BR>\n" );
document.write( "But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792<BR>\n" );
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