India being a diverse country faced various difficulties while drawing up its Constitution. The problems were:

1) During the making of the Constitution, the people of India were emerging from the status of subjects to that of citizens.

2)The partition of the country happened on the basis of religious differences.

The process of drafting India's constitution was not an easy task and faced various challenges. Here are the different problems faced by India in drawing its constitution:

1. Historical Context:
- India had a diverse population with various religions, languages, and social customs.
- The country had just gained independence from British colonial rule, and there was a need to create a constitution that would accommodate the aspirations and needs of its diverse population.

2. Lack of Constitutional Experience:
- India did not have a prior experience of drafting a constitution, as it had been under British rule for many years.
- There was a need to study and understand different constitutional systems from around the world to draft a suitable constitution for India.

3. Communal Tensions:
- Communal tensions between different religious communities, particularly Hindus and Muslims, posed a significant challenge.
- There was a need to ensure that the constitution would protect the rights and interests of all religious and ethnic groups, and prevent any discrimination or favoritism towards any particular community.

4. Linguistic Diversity:
- India had a vast linguistic diversity, with hundreds of languages spoken across the country.
- The challenge was to ensure that the constitution would recognize and protect the linguistic rights of all citizens.

5. Socio-economic Inequalities:
- India had high levels of poverty, illiteracy, and socio-economic inequalities.
- The constitution needed to address these issues and provide a framework for social and economic development, as well as ensure equal opportunities for all citizens.

6. Women's Rights:
- The constitution needed to address the issue of gender equality and ensure the protection of women's rights.
- There was a need to provide equal opportunities and safeguards against discrimination for women in all spheres of life.

7. Federal Structure:
- India has a federal structure, with a division of powers between the central government and state governments.
- The constitution needed to strike a balance between the powers of the central government and the state governments, ensuring both autonomy and unity.

8. Representation and Elections:
- The constitution needed to address the issue of representation and ensure fair and free elections.
- There was a need to establish a system that would provide adequate representation to all sections of society, including marginalized groups.

In conclusion, the process of drawing India's constitution faced several challenges, including historical context, lack of constitutional experience, communal tensions, linguistic diversity, socio-economic inequalities, women's rights, federal structure, and representation and elections. Despite these challenges, the framers of the constitution were able to create a document that has stood the test of time and has provided a solid foundation for India's democracy.