document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123561>Question 1123561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there are 10 seniors, 8 juniors, 5 sophomores, and 3 freshmen on a student council.a committee of 6 members is formed. determine the number of ways to form this committee with at least 4 seniors </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739988 by </B><A HREF=/tutors/aboutme.mpl?userid=Alex.33><B>Alex.33(110)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alex.33><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=Alex.33><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 seniors: <BR>\n" );
document.write( "pick 4 seniors from 10: 10c4=210 ways.<BR>\n" );
document.write( "pick 2 people from the rest (8+5+3)=16 ones: 16c2=120 ways.<BR>\n" );
document.write( "Total: 210*120=25200 ways.\r<BR>\n" );
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document.write( "5 senoirs: 10c5*16c1=4032 ways.<BR>\n" );
document.write( "6 seniors: 10c6=210 ways.\r<BR>\n" );
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document.write( "Add them all up:29442 ways. (I did not expect it to be that much though)<BR>\n" );
document.write( "And we're done. </SPAN>\n" );
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