document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344357>Question 344357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consist of 3 men and 2 women? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246555 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=246555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consist of 3 men and 2 women?<BR>\n" );
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document.write( "# of ways to pick 3 men: 6C3 = 20<BR>\n" );
document.write( "# of ways to pick 2 women: 9C2 = 36<BR>\n" );
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document.write( "So, # of ways to pick 3 men and 2 women = 20*36 = 720<BR>\n" );
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document.write( "# of ways to pick 5 people randomly: 15C5 = 3003<BR>\n" );
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document.write( "Ans: Probability = 720/3003 = 0.2398<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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