document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154668>Question 1154668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of three people is selected at random from as set of five teachers, 8 parents, and 4 alumni. What is the probability of the event that the committee consists of all teachers? Of all parents,or of 1 parent? Looking for 3 answers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777168 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The denominator of the probability fraction in all three cases is the total number of ways of choosing 3 of the 17 people -- 17C3, or C(17/3).<br><BR>\n" );
document.write( "(a) choosing 3 teachers (and 0 parents, and 0 alumni):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%285%2C3%29%2AC%288%2C0%29%2AC%284%2C0%29%29%2FC%2817%2C3%29 ALIGN=MIDDLE  ALT=\"%28C%285%2C3%29%2AC%288%2C0%29%2AC%284%2C0%29%29%2FC%2817%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br> <BR>\n" );
document.write( "(b) choosing 3 parents and 0 teachers, and 0 alumni):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%285%2C0%29%2AC%288%2C3%29%2AC%284%2C0%29%29%2FC%2817%2C3%29 ALIGN=MIDDLE  ALT=\"%28C%285%2C0%29%2AC%288%2C3%29%2AC%284%2C0%29%29%2FC%2817%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(c) choosing 1 parent (and 2 of the teachers or alumni):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%288%2C1%29%2AC%289%2C2%29%29%2FC%2817%2C3%29 ALIGN=MIDDLE  ALT=\"%28C%288%2C1%29%2AC%289%2C2%29%29%2FC%2817%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );