Count the number of functions

$\varphi: (2,3,\ldots,5) \rightarrow (2,3,...,5)$

so that

(i) $\varphi$ is one-to-one and $\varphi (2) = 5$

(ii) $\varphi$ is one-to-one and $\varphi (2) \neq 5$