Let \([t]\) be the greatest integer less than or equal to \(t\). Let \(A\) be the set of all prime factors of \(2310\) a…

Let \([t]\) be the greatest integer less than or equal to \(t\). Let \(A\) be the set of all prime factors of \(2310\) and \(f: A \rightarrow Z\) be the function \(f(x)=\left[\log _2\left(x^2+\left[\frac{x^3}{5}\right]\right)\right]\). The number of one-to-one functions from \(A\) to the range of \(f\) is

[JEE Main 2024, 8 Apr (Shift 1)]