document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450920>Question 450920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?\r<BR>\n" );
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document.write( "I've tried listing all the possible combinations for committee memberships but I'm already up to 13+ committees and I'm certain there must be an easier way.  Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310092 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=310092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A committee is to consist of three members. <BR>\n" );
document.write( "If there are seven men and five women available to serve on the committee, how many different committees can be formed?<BR>\n" );
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document.write( "0 men: 5C3 = 10 committees<BR>\n" );
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document.write( "1 man: 7C1*5C2 = 7*10 = 70 committees<BR>\n" );
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document.write( "2 men: 7C2*5C1 = 21*5 = 105 committees<BR>\n" );
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document.write( "3 men: 7C3 = 35 committees<BR>\n" );
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document.write( "Total # of committees: 10+70+105+35 = 220<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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