Please forgive me for this amateur question in advance.

I have 3 letters, A, B & C. I want to find out how many combinations can I make from 1 to 10 characters using these 3 letters.

Say: AAAAAAAAAA, AAAAAAAAAB, AAAAAAAAAC etc.

Where AAAAAAAAAC = AAAACAAAAA = ACAAAAAAAA. (This set is equally the same because of the occurence of a single C)

or say AAAB = ABAA = BAAA.

or say BBBC = BCBB = CBBB.

from 1 to 10 characters.

I hope this is clear. Please help.