multi-dimensional visibility gird

Is there a way to set up a visibility grid based on a combination two or three other dropdown values?

Example:

dropdown 1 is a dropdown with of values A, B,C

dropdown 2 is a dropdown with of values 1, 2, 3, <blank>


Dropdown 3 should display a subset of options  dependent on dropdown 1 AND dropdown 2

dropdown1=A & dropdown2=1 -> dropdown 3 values i, ii

dropdown1=A & dropdown2=2 -> dropdown 3 values i, ii, iii

dropdown1=B & dropdown2=1 -> dropdown 3 values i

dropdown1=B & dropdown2= <blank> -> dropdown 3 values i, iii, iv

and so on...

thanks,
FrancescaS