document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636931>Question 636931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular level of a tower defense game requires you to place 10 towers that enemies will attempt to pass in order.  There are 3 red towers, 5 grey towers, and 2 green towers to choose from for this level.  How many different arrangements of towers are possible?\r<BR>\n" );
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document.write( "My thinking is 3! * 5! * 2!  Am I on the right track?\r<BR>\n" );
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document.write( "Thank you in advance for any assistance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401304 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=401304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A particular level of a tower defense game requires you to place 10 towers that enemies will attempt to pass in order. There are 3 red towers, 5 grey towers, and 2 green towers to choose from for this level. How many different arrangements of towers are possible? <BR>\n" );
document.write( "My thinking is 3! * 5! * 2! Am I on the right track? <BR>\n" );
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document.write( "If the towers of the same color are distinguishable you get<BR>\n" );
document.write( "3! = 6 ways to arrange the color groups<BR>\n" );
document.write( "3! ways to arrange the red<BR>\n" );
document.write( "5! ways to arrange the grey<BR>\n" );
document.write( "2! ways to arrange the green<BR>\n" );
document.write( "Total arrangements: 6*3!*5!*2! = 8640<BR>\n" );
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document.write( "If those of the same color are not distinguishable the answer<BR>\n" );
document.write( "would be  10!/(3!*5!*2!) = 2520 arrangements<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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