document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668531>Question 668531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a group of 15 females and 10 males, a 6-member team will be selected to represent their school at a science fair. How many teams of 6 could have at least 5 females? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415642 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What this question boils down to is if we have a group of 6, how many teams can we either have 5 females or 6 females?\r<BR>\n" );
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document.write( "The only possibilities are if we have 5 females, 1 male or 6 females, 0 males.\r<BR>\n" );
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document.write( "N[5 females] + N[6 females] =  (15 choose 5)(10 choose 1) + (15 choose 6)(10 choose 0) = 35035 </SPAN>\n" );
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