document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176991>Question 176991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if<BR>\n" );
document.write( "a) there are no restrictions?<BR>\n" );
document.write( "b) there are exactly 5 men on the committe?<BR>\n" );
document.write( "c) at least one person must be a man?<BR>\n" );
document.write( "d)there must be at least 3 women and at least 2 men?: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if\r<BR>\n" );
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document.write( "d)there must be at least 3 women and at least 2 men? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132045 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=132045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if<BR>\n" );
document.write( "a) there are no restrictions?<BR>\n" );
document.write( "Ans: 50C7<BR>\n" );
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document.write( "b) there are exactly 5 men on the committee?<BR>\n" );
document.write( "Ans: 25C5*25C2 = <BR>\n" );
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document.write( "c) at least one person must be a man?<BR>\n" );
document.write( "Ans: 50C7- 25C0*25C7<BR>\n" );
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document.write( "d)there must be at least 3 women and at least 2 men?: <BR>\n" );
document.write( "Ans: 25C3*25C4 + 25C4*25C3 + 25C5*25C2 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );