document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99923>Question 99923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The emergency room at Victory hospital employs eight male and ten female nurses. A special Triage unit of six nurses is being formed. In how many ways can this be done if:\r<BR>\n" );
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document.write( "a): The unit must have three males and three females?\r<BR>\n" );
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document.write( "b): The unit must have at least one female nurse?\r<BR>\n" );
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document.write( "Thanks...<BR>\n" );
document.write( "Steve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72729 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=72729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The emergency room at Victory hospital employs eight male and ten female nurses. A special Triage unit of six nurses is being formed. In how many ways can this be done if:\r<BR>\n" );
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document.write( "a): The unit must have three males and three females?<BR>\n" );
document.write( "# of ways to pick 3 males: 8C3<BR>\n" );
document.write( "# of ways to pick 3 females: 10C3<BR>\n" );
document.write( "# of ways to have 3 males and 3 females = 8C3 * 10C3 = 6720 ways<BR>\n" );
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document.write( "b): The unit must have at least one female nurse?<BR>\n" );
document.write( "# of ways to pick 6 nurses with any gender = 18C6<BR>\n" );
document.write( "# of ways to pick 6 male nurses = 8C6<BR>\n" );
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document.write( "# of ways to pick 6 nurses with at least one female <BR>\n" );
document.write( "equals 18C6 - 8C6 = 18,536<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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