Which of the following statements are TRUE?

$${\rm I}.\,\,\,\,\,\,$$ The content diagram should depict the system as a single bubble.
$${\rm II}.\,\,\,\,$$ External entities should be identified clearly at all levels of $$DFDs$$
$${\rm III}.\,\,$$ Control information should not be represented in $$DFD$$
$${\rm IV}.\,\,$$ A data store can be connected either to another data store or to an external
$$\,\,\,\,\,\,\,\,\,\,\,\,$$entity.

Which one of the following languages over the alphabet $$\left\{ {0,\left. 1 \right)} \right.$$ is described by the regular expression $${\left( {0 + 1} \right)^ * }0{\left( {0 + 1} \right)^ * }0{\left( {0 + 1} \right)^ * }$$

$$L = {L_1} \cap {L_2}$$ where $${L_1}$$ and $${L_2}$$ are languages defined as follows.
$${L_1} = \left\{ {{a^m}{b^m}\,c\,{a^n}{b^n}\left| {m,n \ge 0} \right.} \right\}$$
$${L_2} = \left\{ {{a^i}{b^i}{c^k}\left| {i,j,k \ge 0} \right.} \right\}$$ Then $$L$$ is

The above $$DFA$$ accepts the set of all strings over $$\left\{ {0,\,\,1} \right\}$$ that