Suppose one wishes to find distinct positive integers x, y such that (x + y)/xy is also a positive integer. Identify the correct alternative.
This is never possible.
This is possible and the pair (x,y) satisfying the stated condition is unique.
This is possible and there exist more than one but a finite number of ways of choosing the pair (x,y).
This is possible and the pair (x,y) can be chosen in infinite ways.