document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049298>Question 1049298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6 freshmen, 6 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee.\r<BR>\n" );
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document.write( "In how many ways can a dance committee of 10 students be chosen if it is to consist of exactly 2 juniors and exactly 3 seniors, and the rest must be freshman or sophomores?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664913 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel555><B>jorel555(1290)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel555><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=664913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6 seniors chosen 3 at a time is 6 choose 3, or 20 choices.<BR>\n" );
document.write( "7 juniors chosen 2 at a time is 7 choose 2, or 21 choices<BR>\n" );
document.write( "12 freshmen and sophomores chosen 5 at a time is 12 choose 5, or 792 choices.<BR>\n" );
document.write( "20 x 21 x 792=332640 different ways the dance committee can be formed. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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