The correct answer is option 4: 3 and 4.

Let`s dissect each option to understand why option 4 does not relate to the Fundamental Rights as enshrined in the Constitution of India.

Option 1 states that free and compulsory education to all children of the age of 6-14 years is a part of the Fundamental Rights. This is correct because the Right to Education is a fundamental right guaranteed by the Constitution of India.

Option 2 states that the prohibition of trafficking in human beings and forced labor is a part of the Fundamental Rights. This is also correct because the Constitution of India prohibits trafficking in human beings and forced labor through various articles, such as Article 23.

Option 3 states that the improvement of public health and prohibition of intoxicating drinks is a part of the Fundamental Rights. This is incorrect because while public health is an important aspect, it is primarily covered under the Directive Principles of State Policy and not the Fundamental Rights.

Option 4 states that the promotion of the educational and economic interests of the weaker sections of the people, especially the Scheduled Castes and Scheduled Tribes, does not relate to the Fundamental Rights. This is correct because the promotion of educational and economic interests is primarily covered under the Directive Principles of State Policy and not