document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4230>Question 4230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a shelf there are four mathematic books and eight english books. if the books are to be arranged so that the mathematics books are together, in how many ways can this be done? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1905 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> four mathematics books can be arranged in 4! (four FACTORIAL) ways. The engligh books can be arranged in 8! ways. Then the math books can be inserted (all together) into english books in 9 different ways (to the left of all english books, after first, after second, ..., after 8th -- 9 possibilities). That makes 9*4!*8! possibilities. </SPAN>\n" );
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