I'm not quite sure what you are asking. As I read it, you want to know the number of different sequences A, B, C such that 0<A<2, 0<B<2, and 0<C<1. But if A, B, and C are required to be integers, then the answer is "none" (there is no integer C between 0 and 1); and if they can be any real numbers, then the answer is "infinitely many", which is not very interesting.
Also, you can't be using the word "combinations" in its technical sense, as clearly order matters.
Since A is between 0 and 2 there are infinite number of numbers that A can be
Since B is between 0 and 2 there are infinite number of numbers that B can be
Since C is between 0 and 1 there are infinite number of numbers that C can be