The women universities is only for women.All the admission done for women.
There is approximate 18 women universities in India at different states of India.
It is difficult to get maximum no of university state wise but many states have women university like In Rajasthan there is two universities
Jayoti Vidyapeeth Women's University
These universities are situated in different places in the state. These universities offers different types of courses for the students
No I its no any women college in private sector in India in my knowledge
I am also providing the list of universities according to state :
Sri Padmavati Mahila Visvavidyalayam - Andhra Pradesh
Assam Women's University - Assam
Indira Gandhi Delhi Technological University for Women - Delhi
Miranda House, University of Delhi - Delhi
Bhagat Phool Singh Mahila Vishwavidyalaya - Haryana
Karnataka State Women's University - Karnataka
SNDT Women's Universiy - Pune
Jayoti Vidyapeeth Women's University - Jaipur (Rajasthan)
Banasthali University - Rajasthan
Mody University - Rajasthan
Avinashilingam University - Tamil Nadu
Mother Teresa Women's University - Tamil Nadu
Diamond Harbour Women's University - West Bengal
This information provided by me is best in my knowledge.Hope this will help you for sure.