Evaluate the accuracy of the following assertions:

1. The Finance Commission is established under the provisions of the Constitution.

2. The executive branch is legally mandated to enforce the advice provided by the Finance Commission.

The correct option is Only 1.

Let us analyze the accuracy of each assertion step-by-step:

1. Assertion 1: "The Finance Commission is established under the provisions of the Constitution."

This statement is correct. The Finance Commission is a constitutional body established under Article 280 of the Constitution of India. It is constituted by the President of India every five years (or earlier if considered necessary) to define the financial relations between the Central Government of India and the individual state governments.

2. Assertion 2: "The executive branch is legally mandated to enforce the advice provided by the Finance Commission."

This statement is incorrect. The recommendations made by the Finance Commission are advisory in nature and are not legally binding on the executive branch/government. Though recommendations are generally accepted by convention, there is no legal mandate forcing the executive to enforce them.

Therefore, only Assertion 1 is correct, making Only 1 the correct answer.