This is a CANNOT be true question, so we are asked to identify which program cannot be third. The rules allow us to determine the following order of the programs:
>P >J > Q H > S !=7 >L > V
Per this diagram, we can see that the highest P could be ranked is 4th - H J Q P, meaning P cannot be third (E) (same is true of S but it is not one of the answer choices). V on the other hand cannot be 1st or 2d but can be third - H > L > V is a valid order, resulting in the following complete ranking:
H L V J Q S P
Let me know if this makes sense or if you have any other questions.