document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427603>Question 427603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company has 20 employees, 12 male and 8 female. How many ways are there to form a 5 person committee that contains at least one male and at least one female?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297358 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=297358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "no. of ways to select 5 out of 20 without any restriction = 20C5\r<BR>\n" );
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document.write( "no. of ways to select 5 male out of 12 , not any female = 12C5\r<BR>\n" );
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document.write( "no. of ways to select 5 female out of 8, not any male = 8C5\r<BR>\n" );
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document.write( "total number of ways when at least one male and one female = 20C5 - 12C5 - 8C5 </SPAN>\n" );
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