JEE Math Practice Question

Consider the sets $A=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}: x^2+y^2=25\right\}, B=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}: x^2+9 y^2=144\right\}$, $C=\left\{(x, y) \in \mathbb{Z} \times \mathbb{Z}: x^2+y^2 \leq 4\right\}$ and $D=A \cap B$. The total number of one-one functions from the set $D$ to the set $C$ is:

1. A.15120
2. B.18290
3. C.17160
4. D.19320