Explanation:

Only statements 1&2 are correct.

• Part XIV of the Constitution of India deals with Services under The Union and The State.

• Article 309 empowers the Parliament and the State legislature to regulate the recruitment, and conditions of service of persons appointed, to public services and posts in connection with the affairs of the Union or of any State respectively. 

• According to Article 310, except for the provisions provided by the Constitution, a civil servant of the Union works at the pleasure of the President and a civil servant under a State works at the pleasure of the Governor of that State (English doctrine of Pleasure). 

• But this power of the Government of India under Article 310 is not absolute and civil servants have multiple remedies available to them such as approaching the Central Administrative Tribunal, High Courts, Supreme Court. 

Hence option 2nd is correct.