JEE Math Practice Question

Let A, B and C be three events, which are pair-wise independent and $$\overrightarrow E $$ denotes the completement of an event E. If $$P\left( {A \cap B \cap C} \right) = 0$$ and $$P\left( C \right) > 0,$$ then $$P\left[ {\left( {\overline A \cap \overline B } \right)\left| C \right.} \right]$$ is equal to :

1. A.$$P\left( {\overline A } \right) - P\left( B \right)$$
2. B.$$P\left( A \right) + P\left( {\overline B } \right)$$
3. C.$$P\left( {\overline A } \right) - P\left( {\overline B } \right)$$
4. D.$$P\left( {\overline A } \right) + P\left( {\overline B } \right)$$