I am to create a six character password that consists of 2 lowercase letters and 4 numbers. The letters and numbers can be mixed up in any order and I can also repeat the same number and letter as well. How many possible passwords are there?

What I have pieced together so far:

Well, from the fundamental counting principle, we would definitely need ${26}^{2}\times {10}^{4}$ but obviously this is not all the possibilities since I can rearrange letters and numbers. Since it is a password the order matters so would I try and do a permuation of some sort like ${}^{6}{P}_{2}$ since there are 6 slots to try to rearrange 2 objects (letters)?

What I have pieced together so far:

Well, from the fundamental counting principle, we would definitely need ${26}^{2}\times {10}^{4}$ but obviously this is not all the possibilities since I can rearrange letters and numbers. Since it is a password the order matters so would I try and do a permuation of some sort like ${}^{6}{P}_{2}$ since there are 6 slots to try to rearrange 2 objects (letters)?