document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394463>Question 394463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The letters of the word \"SIXTEEN\" are randomly arranged. What is the probability that the two E's are not next to each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279906 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # of arrangements the two E's are together = 6!1! = 720<BR>\n" );
document.write( "# of arrangements of the letters of the word SIXTEEN = 7!/2! = 2520\r<BR>\n" );
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document.write( "probability that the two E's are together = 720/2520 = 2/7.<BR>\n" );
document.write( "Therefore  probability that the two E's are not next to each other  = 1-2/7 = 5/7. </SPAN>\n" );
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