document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129070>Question 1129070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many distinguishable permutation are possible with all letters of the word ELLIPSES<BR>\n" );
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document.write( "A basic counting principle....<br><BR>\n" );
document.write( "8 letters; can be arranged 8! ways.<br><BR>\n" );
document.write( "The list of all 8! ways is too large by a factor of 2! because of the two E's, again by a factor of 2! because of the two L's, and again by a factor of 2! because of the two S's.<br><BR>\n" );
document.write( "Number of distinguishable permutations:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%21%2F%28%282%21%29%282%21%29%282%21%29%29+=+8%21%2F8+=+7%21+=+5040 ALIGN=MIDDLE  ALT=\"8%21%2F%28%282%21%29%282%21%29%282%21%29%29+=+8%21%2F8+=+7%21+=+5040\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 5040 distinguishable permutations. </SPAN>\n" );
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