document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782035>Question 782035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help figuring out the formula for this word problem:\r<BR>\n" );
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document.write( "\"Suppose a university faculty is establishing a search committee to hire a new president and there are 150 Men and 50 Women and the Board of Trustees has suggested that they want exactly 2 women on the 5 person committee. Suppose the faculty insist on putting the names of all faculty in a hat and drawing out 5 at random. What is the probability that choosing the committee at random will result in a committee that is acceptable to the Board of Trustees.\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476233 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=476233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Suppose a university faculty is establishing a search committee to hire a new president and there are 150 Men and 50 Women and the Board of Trustees has suggested that they want exactly 2 women on the 5 person committee. Suppose the faculty insist on putting the names of all faculty in a hat and drawing out 5 at random. What is the probability that choosing the committee at random will result in a committee that is acceptable to the Board of Trustees.\"<BR>\n" );
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document.write( "# of ways to succeed:: 50C2*150C3 = 675342500<BR>\n" );
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document.write( "# of random groups of 5:: 200C5 = 2535750040<BR>\n" );
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document.write( "Divide to get the probability:: 0.2663<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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