document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342639>Question 342639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can a committee of 5 people be chosen from 7 men and 3 women if it must contain at least one woman? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250852 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=250852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " There are 7 men and 3 women and we have to choose committee of 5<BR>\n" );
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document.write( "     no. of ways to select 5 from total 10 = 10C5\r<BR>\n" );
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document.write( "      now, we have to ignore those groups that have only men <BR>\n" );
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document.write( "     no. of ways to select 5 person from only 7 men = 7C5\r<BR>\n" );
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document.write( "         required no. = 10C5 - 7C5 =  252 - 21 = 231 </SPAN>\n" );
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