In the provided question, option 4 is correct which indicates that assertion A is false and reason R is true.

Dissection of each option:

Option 1: Both assertion A and Reason R are true and R correctly explains A. This is false, as the Council of Ministers in the Union of India is only responsible to the Lok Sabha, not the Rajya Sabha. The Council’s responsibility is towards Lok Sabha because it is the Lok Sabha that holds the majority of the voting power.

Option 2: Both A and R are true but R does not explain A. This is incorrect as statement A is false.

Option 3: Assertion A is true but R is false. Option 3 is incorrect because while it is true that members of both houses can be ministers, the Council of Ministers is not responsible to the Rajya Sabha.

Option 4: Assertion A is false but R is true. This is the correct answer because while members from both the Lok Sabha and the Rajya Sabha can be ministers, the Council of Ministers is not collectively responsible to both houses. They are collectively responsible only to the Lok Sabha.