document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322422>Question 322422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of three seniors, six juniors, and five sophomores must select a committee of three.  How many committees are possible if the committee must contain the following:<BR>\n" );
document.write( "a. One person from each class.<BR>\n" );
document.write( "b. Any mixture of the classes.<BR>\n" );
document.write( "c. Exactly two seniors. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230820 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=230820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of three seniors, six juniors, and five sophomores must select a committee of three.  How many committees are possible if the committee must contain the following:<BR>\n" );
document.write( "a. One person from each class.<BR>\n" );
document.write( "# of ways = 3*6*5 = 90<BR>\n" );
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document.write( "b. Any mixture of the classes.<BR>\n" );
document.write( "14C3 = 364<BR>\n" );
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document.write( "c. Exactly two seniors.<BR>\n" );
document.write( "3C2*11 = 3*11 = 33<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );