document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70125>Question 70125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> twelve students are in a class.  they are split so that five go to room A, four go to room B and three go to room C.  how many different ways can this happen? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50006 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=50006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> twelve students are in a class. they are split so that five go to room A, four go to room B and three go to room C. how many different ways can this happen?<BR>\n" );
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document.write( "pick 5 from the 12: 12C5 ways<BR>\n" );
document.write( "pick 4 from the remaining 7: 7C4 ways<BR>\n" );
document.write( "pick 3 from the remaining 3: 3C3 ways<BR>\n" );
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document.write( "Total number of ways = [12C5]<BR>\n" );
document.write( "=792*35*1 =27720 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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