document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350844>Question 350844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> b) How many ways are there to distribute 20 district object into 10 distinct boxes with\r<BR>\n" );
document.write( "\n" );
document.write( "i)	At least two empty box.<BR>\n" );
document.write( "ii)	  No empty box.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250789 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=250789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b) How many ways are there to distribute 20 district object into 10 distinct boxes with <BR>\n" );
document.write( "i) At least two empty box.<BR>\n" );
document.write( "# of ways to select 2 distinct boxes: 10*9 = 90<BR>\n" );
document.write( "---<BR>\n" );
document.write( "# of ways to arrange 20 in the 8 remaining distinct boxes:<BR>\n" );
document.write( "20P8 = 5079110900<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Ans: 90*5079110900 = 4.5712x10^11<BR>\n" );
document.write( "============================================\r<BR>\n" );
document.write( "\n" );
document.write( "ii) No empty box.<BR>\n" );
document.write( "20P10 = 20!/10! = 6.7044x10^11 ways<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );