document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143090>Question 1143090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A club as 30 members including 3 lawyers,4 teachers and 5 docters.In how many ways can a committee of 8 be formed to contain 1 teacher,2 lawyers,and 2 docters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763867 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=763867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "We need to choose...<BR>\n" );
document.write( "(a) 1 of the 4 teachers: C(4,1)<BR>\n" );
document.write( "(b) 2 of the 3 lawyers: C(3,2)<BR>\n" );
document.write( "(c) 2 of the 5 doctors: C(5,2)<br><BR>\n" );
document.write( "By the fundamental counting principle, the total number of ways is the product of those numbers.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%284%2C1%29%2AC%283%2C2%29%2AC%285%2C2%29+=+4%2A3%2A10+=+120 ALIGN=MIDDLE  ALT=\"C%284%2C1%29%2AC%283%2C2%29%2AC%285%2C2%29+=+4%2A3%2A10+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );