Given that a and b are non-negative integers and f(x,y)=(x+y-a)(x+y-b), then if f(x,y)=0 has n distinct non-negative integer solutions for (x,y), find how many different polynomials f(x,y) can take.

Note: For example, (1,0) and (0,1) are not distinct solutions.

Posted by K Sengupta on 2023-08-09 04:42:40