Question 1155081
<pre>
STATISTICS


ACIISSSTTT
TTTSSSIICA
ATCTITISSS

There are 10 letters, some distinguishable some indistinguishable.
There are 2 indistinguishable I's.
There are 3 indistinguishable S's.
There are 3 indistinguishable T's.

The formula for the number of distinguishable permutations is a fraction.

The numerator of the fraction is the factorial of the number of letters,
whether distinguishable or indistinguishable.

The denominator of the fraction is the product of the factorials of each
of the numbers of indistinguishable letters.

So the answer is this fraction 

{{{10!/(2!3!3!)}}}

which we simplify:

{{{3628800/(2*6*6)=50400)}}}

Edwin</pre>