document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166019>Question 1166019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a committee of three people is selected at random from a sec system of six teachers, four parents of students, and seven alumni.<BR>\n" );
document.write( "A) What is the probability of the event that the committee consists of all teachers?<BR>\n" );
document.write( "B) What is the probability of the event that the committee has no teachers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790640 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the denominator is the number of ways to choose 3 from 20, which is 1140<BR>\n" );
document.write( "all teachers is 6C3 4P0 7A0 which is 20/1140 or 0.0175<BR>\n" );
document.write( "no teachers is 6C0*11C3/20C3<BR>\n" );
document.write( "this is 165/1140 or 0.1447 </SPAN>\n" );
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