document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=645233>Question 645233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company has six female and eight male employees.How many different 5-person committees can be formed, if the committee must have a group leader and the members at large must consist of two women and two men? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405400 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=405400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company has six female and eight male employees.How many different 5-person committees can be formed, if the committee must have a group leader and the members at large must consist of two women and two men?<BR>\n" );
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document.write( "# of ways to pick 2 women: 6C2 = 15<BR>\n" );
document.write( "# of ways to pick 2 men: 8C2 = 28 <BR>\n" );
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document.write( "# of ways to then pick a group leader: 10<BR>\n" );
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document.write( "# of 5-person committees with 2 men and 2 women and a group leader<BR>\n" );
document.write( "= 15*28*10 <BR>\n" );
document.write( "= 4200 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );