document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400849>Question 400849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If the committee must consist of at least 3 women and at least 2 men, how many different committees are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283776 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=283776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Possible ways are : \r<BR>\n" );
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document.write( "( 3 women, 3 men)  no. of ways = 8C3 * 7C3 = 56 * 35 = 1960\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( " (4 women, 2 men) no. of ways = 8C4 * 7C2 = 70 * 21 = 1470\r<BR>\n" );
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document.write( "total no. of possible ways = 1960 + 1470 = 3430\r<BR>\n" );
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document.write( " </SPAN>\n" );
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