Two types of executive are there in Parliamentary system—formal executive and the real executive. The President is the Constitutional head of country. He has been given the legal, executive and judicial powers. But it cannot use his powers with his wish because he is the formal head.
All of his powers are used by the Prime Minister and his Council of Ministers because they belong to real executive the Prime Minister and his Council of Ministers are appointed by the President. Generally the leader of the majority party in Lok Sabha is appointed as the Prime Minister. But present age is of coalition government and that’s why it is very important to take decision regarding appointment of the Prime Minister.