document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127249>Question 1127249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a committee of 6 is being selected from a group of 10 men and 12 women, in how many ways can this committee be arranged if at least 3 must be women? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743656 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "C(10,3)*C(12,3) = number of committees with 3 men and 3 women<BR>\n" );
document.write( "+C(10,2)*C(12,4) = number of committees with 2 men and 4 women<BR>\n" );
document.write( "+C(10,1)*C(12,5) = number of committees with 1 man and 5 women<BR>\n" );
document.write( "+C(10,0)*C(12,6) = number of committees with no men and 6 women<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "= (120)*(220) + (45)*(495) + (10)*(792) + (1)*(924)<BR>\n" );
document.write( "= 26400 + 22275 + 7920 + 924<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+57519+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+57519+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ways<br>\r<BR>\n" );
document.write( "\n" );
document.write( "(assuming I haven't made an error in the calculations)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );