document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169722>Question 169722</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:\r<BR>\n" );
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document.write( "a) there are no restrictions?\r<BR>\n" );
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document.write( "b) there are exactly 5 men on the committee\r<BR>\n" );
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document.write( "c) at least one person must be a man\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 #125105 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=125105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)50C7=50!/((50-7)!*7!)=99,884,400<BR>\n" );
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document.write( "b)25C5 * 25C2 =53130 * 300 = 15,939,000<BR>\n" );
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document.write( "c)99,884,400-(25C7*25C0)<BR>\n" );
document.write( "=99884400-480700<BR>\n" );
document.write( "=99,403,700<BR>\n" );
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document.write( "d)50C7-2(25C7)-2(25C6*25C1)-(25C5*25C2)<BR>\n" );
document.write( "=99884400-961400-8855000-15939000<BR>\n" );
document.write( "=74,129,000<BR>\n" );
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document.write( "Ed<BR>\n" );
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