document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695500>Question 695500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three different language books, two different social science books and five mathematics books are to be arranged on a shelf. How many different arrangements are possible if the book in each group must all stand together ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428527 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=428527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  three different language books, two different social science books and five mathematics books are to be arranged on a shelf. How many different arrangements are possible if the book in each group must all stand together ?<BR>\n" );
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document.write( "1st: arrange the groups: 3! = 6 ways<BR>\n" );
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document.write( "2nd: arrange the books in each group: 3!*2!*5! = 6*2*120 = 1440 ways<BR>\n" );
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document.write( "Total arrangements: 6*1440 = 8640<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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