document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100877>Question 1100877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The offices of president, vice-president, secretary, and treasurer for an environmental club will be filled from a pool of 14 candidates. Six of the candidates are members of the debate team. What is the probability that exactly 2 of the members of the debate team will be chosen for one of the four offices? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715438 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the exact question that you asked, the probability is zero, because it is impossible for ANY two people to be chosen for one office.<BR>\n" );
document.write( "I have wondered about that possibility.<BR>\n" );
document.write( "Perhaps two people to fill one position. It does happen. Not in elections, as far as I know, but by appointment. How would you figure that rarity into probability or wouldn't you since it is not one of the original possibilities? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );