document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459568>Question 459568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A department contains 8 men and 20 women. It needs to build a committee of 6.\r<BR>\n" );
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document.write( "a. How many ways can you build these committees?\r<BR>\n" );
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document.write( "Committees with only women?<BR>\n" );
document.write( "Committees with one man?<BR>\n" );
document.write( "Committees with two men?<BR>\n" );
document.write( "Committees with three men?\r<BR>\n" );
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document.write( "b. How many ways are there to form a committee with 6 members if it must have more women than men? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315127 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A department contains 8 men and 20 women. It needs to build a committee of 6. <BR>\n" );
document.write( "a. How many ways can you build these committees? <BR>\n" );
document.write( "Committees with only women?::: 20C6 = 38,760<BR>\n" );
document.write( "Committees with one man?8C1*20C5 = 124,032<BR>\n" );
document.write( "Committees with two men?:::8C2*20C4 = 135,660<BR>\n" );
document.write( "Committees with three men?:::8C3*20C3 = 63840<BR>\n" );
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document.write( "b. How many ways are there to form a committee with 6 members if it must have more women than men?<BR>\n" );
document.write( "Comment: # of men could be 0 or 1 or 2 <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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