Points \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3} \ldots . \...

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Points \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3} \ldots . \mathrm{P}_{10} \) are either lying along vertices or midpoints of the edges of a tetrahedron as shown in the diagram, then the number of groups of four distinct points (where each group of four points contains point \( \mathrm{P}_{1} \) ) which lies on the same plane is equal to
\( \mathrm{P} \)
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