Let $$X = \left\{(x, y) \in \mathbb{Z} \times \mathbb{Z} : \frac{x^2}{8} + \frac{y^2}{20} < 1 \text{ and } y^2 < 5x\right\}$$. Three distinct points P, Q and R are randomly chosen from X. Then the probability that P, Q and R form a triangle whose area is a positive integer, is

A

$$\frac{71}{220}$$

B

$$\frac{73}{220}$$

C

$$\frac{79}{220}$$

D

$$\frac{83}{220}$$