document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178850>Question 1178850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Six math books, five science books, and two English books are to be arranged on a shelf, so that books of the same subject must be together. How many ways can this be done? *<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808277 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Six math books, five science books, and two English books are to be arranged on a shelf, so that books of the same subject must be together. How many ways can this be done? *<BR>\n" );
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document.write( "Math books: 6! ways to arrange them<BR>\n" );
document.write( "Science books: 5! ways to arrange them<BR>\n" );
document.write( "English books: 2! ways to arrange them<br>\r<BR>\n" );
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document.write( "6!*5!*2! = 720*120*2 = 172800 ways to arrange the Math, Science, and English books together, in that particular subject order.<br>\r<BR>\n" );
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document.write( "You can also arrange the three subjects in 3! ways, bringing the total number of arrangements to:<br><BR>\n" );
document.write( "   (172800)*3! = 172800*6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+1036800+%29 ALIGN=MIDDLE  ALT=\"highlight%28+1036800+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways </SPAN>\n" );
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