document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745083>Question 745083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you have 3 different math books, 4 different chemistry books, and 5 different\r<BR>\n" );
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document.write( "biology books that you wish to put on a bookshelf.  In how many ways can this be done if\r<BR>\n" );
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document.write( "all of the books of each type must be placed together (all of the math books need to be\r<BR>\n" );
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document.write( "together, all of the chemistry books need to be together, and all of the biology books\r<BR>\n" );
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document.write( "need to be together)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453705 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=453705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose that you have 3 different math books, 4 different chemistry books, and 5 different <BR>\n" );
document.write( "biology books that you wish to put on a bookshelf. In how many ways can this be done if <BR>\n" );
document.write( "all of the books of each type must be placed together (all of the math books need to be <BR>\n" );
document.write( "together, all of the chemistry books need to be together, and all of the biology books <BR>\n" );
document.write( "need to be together)?<BR>\n" );
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document.write( "1st: Think of each set of books as one book: <BR>\n" );
document.write( "# of ways to arrange these sets is 3! = 6<BR>\n" );
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document.write( "2nd: Think of the # of arrangements of each set: 3!*4!*5!<BR>\n" );
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document.write( "Multiply to get the final # of arrangements: 6*6*24*120 = 103680 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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