How many distinguishable 11-letter words can be formed using the letters in chattanooga?

1,663,200 words. 

you just do 11! [factorial] over 3! 2! 2! [! is factorial] just dont multiply the 3 factorials together 
it should come out to 
11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 
... 
3 x 2 x 1 , 2 x 1 , 2 x 1 

Hope this helped! :D