document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970100>Question 970100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways can you select a committee of 7 from 4 males and 6 females if a certain woman must be in the<BR>\n" );
document.write( "committee? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593246 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One specific woman must be selected.\r<BR>\n" );
document.write( "\n" );
document.write( "Now we are choosing from 4 men and 5 women and the committee size is effectively 6\r<BR>\n" );
document.write( "\n" );
document.write( "Choose all 4 men (1 way).  Choose 2 women from 5  5 C2  (10 ways); Sub-total= product or 10 ways<BR>\n" );
document.write( "Chose 3 men out of 4 (4 ways). Choose 3 women out of 5  (10 ways); sub-total= product or 40 ways.<BR>\n" );
document.write( "Chose 2 men out of 4 (6 ways). Choose 4 women out of 5 (5 ways); sub-total= product or 30 ways.<BR>\n" );
document.write( "Choose 1 man out of 4 (4 ways). Choose all 5 women (1 way)  4 ways\r<BR>\n" );
document.write( "\n" );
document.write( "That would be 10 +40+30 +4= 84 ways  \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );