document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118366>Question 1118366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5 freshmen, 5 sophomores, 5 juniors, and 5 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 14 students be chosen if it is to consist of exactly 2 juniors and exactly 4 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 #733646 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=733646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "4 of the 5 seniors: \"5 choose 4\" = C(5,4) = 5<br><BR>\n" );
document.write( "AND<br><BR>\n" );
document.write( "2 of the 5 juniors: \"5 choose 2\" = C(5,2) = 10<br><BR>\n" );
document.write( "AND<br><BR>\n" );
document.write( "8 of the 10 freshmen and sophomores: \"10 choose 8\" = C(10,8) = 45<br><BR>\n" );
document.write( "Multiply the number of different ways to make the different selections to find the total number of ways:<br><BR>\n" );
document.write( "5*10*45 = 2250 </SPAN>\n" );
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