Let \( [t] \) be the greatest integer less than or equal to \( t \). Let \( A \) be the set of all prime factors of \( 2310 \) and \( f : A \to \mathbb{Z} \) be the function \( f(x) = \left[ \log_{2} \left( x^{3} + \left[ \frac{x^{3}}{5} \right] \right) \right] \). The number of one-to-one functions from \( A \) to the range of \( f \) is:
