document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=643224>Question 643224</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Assume that you have a committee of 13 members, made up of 6 men and 7 women.<BR>\n" );
document.write( "In how many ways can the 3 tasks be assigned so that both men and women are given assignments?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404399 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=404399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that you have a committee of 13 members, made up of 6 men and 7 women.<BR>\n" );
document.write( "In how many ways can the 3 tasks be assigned so that both men and women are given assignments? <BR>\n" );
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document.write( "# of ways to select 3 women: 7C3 <BR>\n" );
document.write( "# of ways to select 3 men: 6C3<BR>\n" );
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document.write( "Total # of ways to select 3: 13C3<BR>\n" );
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document.write( "# of ways to select 3 so both men and <BR>\n" );
document.write( "and women are given assignments:<BR>\n" );
document.write( "13C3 - 7C3 - 6C3 = 286 - 35 - 20 = 286-55 = 281 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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