Step 1: Understanding the Concept:
In the Indian Parliamentary system, the executive is responsible to the legislature. There are two types of responsibility: individual and collective.
Step 2: Detailed Explanation:
- Assertion A is Correct: According to Article 75(2) of the Constitution, ministers hold office during the "pleasure of the President". This refers to the principle of Individual Responsibility. A minister can be removed by the President (on the advice of the PM) even if the ministry as a whole enjoys the confidence of the Lok Sabha.
- Reason R is Correct: According to Article 75(3), the Council of Ministers is collectively responsible to the Lok Sabha (House of the People). This is the bedrock of the parliamentary system.
- Relationship between A and R: While both are fundamental constitutional provisions, they represent two different principles. Individual responsibility (A) ensures a minister's accountability to the head of government/state, whereas collective responsibility (R) ensures the government's accountability to the people's elected house. Collective responsibility is not the reason why ministers serve at the President's pleasure.
Step 3: Final Answer:
Both statements are legally correct constitutional provisions, but the reason does not explain the assertion.