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

  1. $\begin{pmatrix} 8 \\ 3 \end{pmatrix}$
  2. $\begin{pmatrix} 8 \\ 3 \end{pmatrix} 5^8$
  3. $\begin{pmatrix} 8 \\ 3 \end{pmatrix} 8^5$
  4. $\frac{8!}{3!}$
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