document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873941>Question 873941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways could a committee of five people be selected from eight females and six males if the committee must have more females than males and each gender must be represented. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527186 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=527186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: I'm using the formula n C r = (n!)/(r!(n-r)!)\r<BR>\n" );
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document.write( "Break it down into cases\r<BR>\n" );
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document.write( "4 females, 1 male: (8 C 4)*(6 C 1) = 70*6 = 420\r<BR>\n" );
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document.write( "3 females, 2 male: (8 C 3)*(6 C 2) = 56*15 = 840\r<BR>\n" );
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document.write( "420+840 = 1,260\r<BR>\n" );
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document.write( "There are <font color=\"red\">1,260</font> ways to form the committee.<BR>\n" );
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