Which of the following statements are true regarding Switches and Routers?

$(1)$ Routers are capable of managing dynamical IP address allocation to devices on a network through protocol.

$(2)$ Switch can filter and forward packets between different LAN segments connected to it as it can process at least up to the link layer.

$(3)$ Routers operates only on link$-$layer and can forward packets.

$(4)$ Operations of the routers and switches are the same.

Question $6$ options:

$(3)$ and $(4)$

$(1)$ and $(2)$

$(1)$ and $(3)$

$(2)$ and $(3)$