document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190798>Question 190798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can they be arranged if books of the same kind must 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 #143275 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=143275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can they be arranged if books of the same kind must be together?<BR>\n" );
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document.write( "# of ways to arrange physics: 8!<BR>\n" );
document.write( "# of ways to arrange history: 7!<BR>\n" );
document.write( "# of ways to arrange calculus:4!<BR>\n" );
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document.write( "# of ways to arrange the three groupings: 3!<BR>\n" );
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document.write( "Total number of arrangements: 8!*7!*4!*3!= 2.92626 x 10^10<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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