document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059577>Question 1059577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 117. On a shelf there are 4 books on Economics, 3 books on<BR>\n" );
document.write( "Management and 4 books on Statistics. In how many<BR>\n" );
document.write( "different ways can the books be arranged so that the<BR>\n" );
document.write( "books on Economics are kept together?<BR>\n" );
document.write( "1) 967680 2) 20960 3) 5040<BR>\n" );
document.write( "4) 40320 5) None of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674606 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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/cgi-bin/show-face.mpl?user=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=674606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have 3 subjects, so 3! <BR>\n" );
document.write( "Then you have Economics, there are 4 ways to do this. But since they have to stay together but not in any particular order, consider the 4 books as 1 \"lump\" or 1 big book. So, we have 1+3+4 = 8 books and we can arrange them in 8! ways (See? by calling the Economics books 1 we always keep them together).<BR>\n" );
document.write( "So now we have 3!8! = 241,920 ways to arrange the books, always keeping the Economics books together. </SPAN>\n" );
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