Inside a cube of side 5 units, there are 260 points drawn. Prove that there exists a sphere of unit radius within this cube such that 4 of these points are within the sphere.

\textbf{Details and Assumptions}

Unit radius means radius of 1 unit.

Inside a cube of side 5 units, there are 260 points drawn. Prove that there exists a sphere of unit radius within this cube such that 4 of these points are within the sphere.

\textbf{Details and Assumptions}

Unit radius means radius of 1 unit.

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