Explanation:

1 only

The statement "The Parliament enjoys superiority over the state legislature in terms of territorial extent as well as distribution of legislative subjects" is correct. The Parliament of India holds superiority over the state legislatures in terms of the territorial extent of its laws and the distribution of legislative subjects. The Constitution of India delineates the Union List, the State List, and the Concurrent List, specifying the subjects on which each level of government can legislate. Additionally, in case of a conflict between laws made by Parliament and those made by state legislatures on Concurrent List subjects, the law enacted by Parliament prevails.

The statement "The president may entrust to a state government any of the executive functions of the central government without the consent of the concerned state" is incorrect. The President of India does not have the unilateral authority to entrust executive functions of the central government to a state government without the consent of the concerned state. Such actions usually happen through constitutional provisions, executive orders, or agreements between the Centre and the states, which generally require the consent or consultation of the concerned state government.

Therefore, only statement 1 is correct.