Let $A=\{1, 2, 3, 4, 5, 6, 7, 8 \}$. How many functions $f: A \rightarrow A$ can be defined such that $f(1)< f(2) < f(3)$?
- $\begin{pmatrix} 8 \\ 3 \end{pmatrix}$
- $\begin{pmatrix} 8 \\ 3 \end{pmatrix} 5^8$
- $\begin{pmatrix} 8 \\ 3 \end{pmatrix} 8^5$
- $\frac{8!}{3!}$