document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129916>Question 1129916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways are there to place 4 distinct balls into 5 distinct boxes such that exactly 3 of the 5 boxes do not have any balls? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746533 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=746533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How many ways are there to place 4 distinct balls into 5 distinct boxes such that exactly 3 of the 5 boxes do not have any balls? <BR>\n" );
document.write( "# of ways to pick the two boxes to receive balls:: 5C2 = (5*4)/(1*2) = 10 ways<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "# of ways to lace 4 distinct balls in those 2 distinct boxes::<BR>\n" );
document.write( "(# in box A, # in Box B)<BR>\n" );
document.write( "(0,4) 1 way<BR>\n" );
document.write( "(1,3) 4 ways<BR>\n" );
document.write( "(2,2) 6 ways<BR>\n" );
document.write( "(3,1) 4 ways<BR>\n" );
document.write( "(4,0) 1 way<BR>\n" );
document.write( "Total (A,B) ways:: 16<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Final Answer:: 10*16 = 160<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );