document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427651>Question 427651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have four different history books, three different biology books, and two different math books. In how many different ways can you line these books up on a shelf if books of the same type have to be next to each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297403 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=297403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have four different history books, three different biology books, and two different math books. In how many different ways can you line these books up on a shelf if books of the same type have to be next to each other?<BR>\n" );
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document.write( "There are 3! = 6 ways to arrange the 3 sets of books.<BR>\n" );
document.write( "There are 4!*3!*2! = 24*6*2 = 288 to arrange the books within the sets.<BR>\n" );
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document.write( "Total arrangements = 6*288 = 1728<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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