Hello Student , There are Government and private Engineering college in Maharashtra which is based on Mumbai. The government colleges are:-Indian Institute of Technology Mumbai, SNDT women University Mumbai, veermata jijabai Institute of Technology Mumbai. India total 60 colleges for Computer Science Engineering in in Mumbai among them 94% private and 6% government colleges. The private colleges for Computer Science Engineering are:-KJ Somaiya College of Engineering vidyavihar Mumbai, Amity University Panvel Mumbai, TS EC Bandra  West, Mumbai, sardar Patel Institute of Engineering  Andheri West , Mumbai, vidyalankar Institute of Engineering Wadala, Rajiv Gandhi Institute of Engineering Andheri West Mumbai.

Above mentioned colleges are some of the Government & private Engineering Colleges in Mumbai for computer science engineering that imparts good education and placement also.

Hope this helps.