Consider the sets \(\mathrm{A}=\left{(\mathrm{x},\mathrm{y})\in \mathrm{ℝ}\times \mathrm{ℝ}:{\mathrm{x}}^{2}+{\mathrm{y}…

Consider the sets

\(\mathrm{A}=\left{(\mathrm{x},\mathrm{y})\in \mathrm{ℝ}\times \mathrm{ℝ}:{\mathrm{x}}^{2}+{\mathrm{y}}^{2}=25\right}\),

\(\mathrm{B}=\left{(\mathrm{x},\mathrm{y})\in \mathrm{ℝ}\times \mathrm{ℝ}:{\mathrm{x}}^{2}+9{\mathrm{y}}^{2}=144\right},\)

\(C=\left\{(x, y) \in \mathbb{Z} \times \mathbb{Z}: x^2+y^2 \leq 4\right\}\), and

\(\mathrm{D}=\mathrm{A}\cap \mathrm{B}\).

The total number of one-one functions from the set \(D\) to the set \(C\) is:

[JEE Main 2025, 4 Apr (Shift 1)]