Step 1: Understanding the Question:
We are required to arrange the fragments P, Q, R, and S to form a coherent, meaningful sentence.
Step 2: Key Formulas and approach:
1. Find the introductory subject phrase.
2. Match infinitives to their verbs (e.g., "appointed to" must be followed by a base form verb).
3. Pair transitive verbs with their objects and prepositional modifiers.
Step 3: Detailed Explanation:
$\bullet$ Fragment Q: "the committee appointed to" ends with the infinitive marker "to". This must be followed by a base verb.
$\bullet$ Fragment P: "investigate the allegations of corruptions" starts with the base verb "investigate". Therefore, Q $\rightarrow$ P is a mandatory pair.
$\bullet$ The entire phrase "The committee appointed to investigate the allegations of corruptions" acts as the complete subject of the sentence.
$\bullet$ This subject must be followed by a finite verb. Fragment S: "has submitted its report" provides the main verb phrase. This gives Q $\rightarrow$ P $\rightarrow$ S.
$\bullet$ The verb phrase "submitted its report" is logically followed by the destination of the report. Fragment R: "to the authorities" completes the thought. This gives the full sequence Q $\rightarrow$ P $\rightarrow$ S $\rightarrow$ R.
Step 4: Final Answer:
The correct order is QPSR, which corresponds to Option (C).