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 #715405 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>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><BR>\n" );
document.write( "I assume, then, that what you really meant to ask is the probability that members of the debate team are chosen for 2 of the 4 offices.<br><BR>\n" );
document.write( "In that case, you are choosing 4 of the 14 to be officers; and they must include 2 of the 6 members of the debate tean and 2 of the 8 others.  The probability is then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%286%2C2%29%2AC%288%2C2%29%29%2FC%2814%2C4%29+=+%2815%2A28%29%2F1001+=+15%2A4%2F143+=+60%2F143 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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