document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058221>Question 1058221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee has seven men and four women.<BR>\n" );
document.write( "If four people are selected to go to a&#8203; conference, what is the chance that the group is two men and two&#8203; women? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673252 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 11C4 ways to go or 330 ways.<BR>\n" );
document.write( "There are 7C2 ways to choose the men (21)<BR>\n" );
document.write( "There are 4C2 ways to choose the women (6)<BR>\n" );
document.write( "They are independent, meaning the choice of men does not affect the choice of the women.<BR>\n" );
document.write( "That product is 126<BR>\n" );
document.write( "The probability is 126/330, or 21/55<BR>\n" );
document.write( "The other choices should add up to 204<BR>\n" );
document.write( "one man, 3 women is 7*4=28<BR>\n" );
document.write( "no men, 4 women is 1 way<BR>\n" );
document.write( "3 men, 1 woman is 35*4=140 ways<BR>\n" );
document.write( "4 men, 0 woman is 35 ways<BR>\n" );
document.write( "They add up to 204. </SPAN>\n" );
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