document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165255>Question 1165255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in how many ways can the letter of the word \"HELL\" be permuted, if the two 2LLs must always be apart. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789755 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=789755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are  4!/2 = 12 unique arrangements of the letters \"HELL\"  (because the L's are indistinguishable).<br>\r<BR>\n" );
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document.write( "From this, we must subtract 3! = 6 cases where the L's are together. Thus there are 12-6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+6+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > arrangements meeting the requirement. </SPAN>\n" );
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