document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197427>Question 1197427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways are there to distribute 15 district item into 5 distinct boxes with: <BR>\n" );
document.write( "    i) At least two empty box. <BR>\n" );
document.write( "    ii) No empty box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831838 by </B><A HREF=/tutors/aboutme.mpl?userid=rippletable><B>rippletable(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rippletable><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=831838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the first case consider taking away 2 boxes, then distributing the 15 distinct items into the 3 remaining distinct boxes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are 5 choose 2 ways to select the 2 boxes to take away. Then there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E15+ ALIGN=MIDDLE  ALT=\"+3%5E15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to distribute the items into the 3 remaining boxes, all in all you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285+choose+2%29+%2A+3%5E15+ ALIGN=MIDDLE  ALT=\"+%285+choose+2%29+%2A+3%5E15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );