Having a permanent home in India is not mandatory to study in Australia, but you need to meet certain visa requirements. Indian students typically apply for an Australian student visa, demonstrating financial capability, genuine intent to study, and meeting health and character requirements. Having a home address in India may support your ties to your home country, but it's not a strict requirement. Ensure your children meet the visa criteria, have sufficient funds, and provide the necessary documents, such as the Confirmation of Enrolment from their Australian institution, for a smooth application process.