Question 912309
<pre>
"CERTIFICATE" has 11 letters.  Since a C must be first, the problem 
becomes finding the number of distinguishable ways we can follow the
C with the 10 other letters.  That is the same as the problem:

Find the number of distinguishable arrangements of "ERTIFICATE"

"ERTIFICATE" has 10 letters, including 2 indistinguishable E's, 2
indistinguishabe T's and 2 indistinguishable I's.  We divide 10! by
the factorials of all these.

Answer: {{{10!/(2!2!2!)}}} = 453600

Edwin</pre>