document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=10458>Question 10458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THE ARE 20 STUDENTS AND THEY NEED TO BE ALLOCATED INTO 3 CLASSROOMS.IN HOW MANY WAYS CAN THIS BE DONE<BR>\n" );
document.write( "1.ASSUMING THAT THE STUDENTS ARE IDENTICAL<BR>\n" );
document.write( "2.ASSUMING THAT THE STUDENTS ARE DISTINGUISHABLE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5556 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=5556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  1.ASSUMING THAT THE STUDENTS ARE IDENTICAL<BR>\n" );
document.write( " 2.ASSUMING THAT THE STUDENTS ARE DISTINGUISHABLE\r<BR>\n" );
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document.write( " 1. Like the possible solutions of the integral equations<BR>\n" );
document.write( "    x + y + z = 20 (z,y & z as three classrooms)<BR>\n" );
document.write( "  Arrange r = 20 possble combinations among n=3 elements.<BR>\n" );
document.write( "  There are H(n, r) = C(n+r-1, r) = C(22,20) = C(22,2)<BR>\n" );
document.write( "  =22*21/2 = 21*11 = 231\r<BR>\n" );
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document.write( " 2. Each student has 3 choices, totally, there 3^20 ways.\r<BR>\n" );
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document.write( " Kenny\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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