Number of triangles whose vertices are the points $(x, y)$ in the XY-plane with integer coordinates satisfying $0 \leq x \leq 4$ and $0 \leq y \leq 4$ is

• A

  $2300$
• B

  $2260$
• Correct answer
  C

  $2160$
• D

  $2230$

Hence, the correct answer is option: 'C'.