If you are more inclined towards Mathematics and Research, then IIT will be a good option for you. You can end up working as a business analyst for an MNC.
In the PGDIE course of NITIE, you will come across management sectors rather than technical knowledge. You will also get acquainted with subjects such as Operations and Supply chain.
The connection NITIE has with industries is far better than the IITs in the country and the fact that it is placed in Mumbai, the financial capital of the country, you will get lucrative opportunities to engage in work with the industries for weekend projects.