Probability

I am not sure if this correct, but I would try it this way:

2 x 3 x 4

describing:

2 options for how many 100,000 bills used (could be 1 or 0)

3 options for how many 10,000 bills (0, 1 or 2)

4 options for how many 1000 bills (0, 1, 2, or 3).

Since we can't use 10 of any bill, we are not going to accidently have the same sum available with 2 different combinations of bills, and the order of bills used to give a sum isn't important either, so no extra finding different combinations.

Edit: you might like to subtract one case, the one where you have zero of each bill.