A$)$ What is the ROUGE$-2$ score for the system$-$generated summary "The boy plays with a red ball" in comparison to the human references?

System$-$generated summary: "The boy plays with a red ball."

Human reference $1$: "A boy is playing with a red ball."

Human reference $2$: "A young lad is engaging with a crimson sphere."

B$)$ Based on above calculation, discuss the relevance of ROUGE$-2$ score in assessing summarization quality, and propose methods for integrating ROUGE$-2$ evaluation into text summarization development processes.

C$)$ Can you identify any specific metrics or criteria commonly used in intrinsic evaluation? How do these metrics differ from those used in extrinsic evaluation?