Question 1129070
<br>
A basic counting principle....<br>
8 letters; can be arranged 8! ways.<br>
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>
Number of distinguishable permutations:<br>
{{{8!/((2!)(2!)(2!)) = 8!/8 = 7! = 5040}}}<br>
ANSWER: 5040 distinguishable permutations.