# Floor Equation

$\large\left \lfloor \dfrac x 2 \right \rfloor + \left \lfloor \dfrac y3 \right \rfloor + \left \lfloor \dfrac z4 \right \rfloor = 24$

If $$x,y$$ and $$z$$ are odd positive integers, find the number of triplets $$(x,y,z)$$ satisfying the equation above.



Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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