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Dear aspirant, I think you have some confusion over the name. IIT MUMBAI and Mumbai University both are different.
For MUMBAI UNIVERSITY , admission for B.Tech course is on the basis of MH-CET exam.
For IIT MUMBAI , admission is on the basis of score obtained in JEE ADVANCED exam. You can't take admission in IIT MUMBAI on the basis of JEE MAINS. Also the score in JEE ADVANCED has to be among the top scorers as the cut off for IIT MUMBAI is highest among all the IITs.
All the best
Hope this helps
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