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Hi Arush,
It seems that you are planning to pursue both - BBA and MBA from a single institute as per the choices given by you but that need not be the case provided you seek for the college that suits your preference.
BBA is a bachelor course so instead of taking risk over the institute, I would suggest you take up this course from an institute which has a University approval and offer regular programs. In this case i seriously think that opting for BBA from Amity / Symbiosis will be a better option.
As for the MBA is concerned, you can opt for either of the three institutes depending on your area of interest i.e. specialization, qualifying the admission procedure, reputation of the institute, accreditation if any etc. Like if you plan and get the option to get admission in institutes like Symbiosis- SCM HRD, SIBM or SIIB definitely holds a lot of value for your profile due to its kind of curriculum, industry support, placements etc.
IIPM or Amity are seen as other good options due to the industry acceptance and good placement records in the past.
It entirely depends on your priorities and your preference and without analyzing the same taking a particular decision would be quite a task.
To know about the other institutes offering BBA/ MBA, please refer to the following link:
https://www.shiksha.com/search/index?keyword=BBA&location=&searchType=course&cat_id=-1&countOffsetSearch=25&startOffSetSearch=0&subLocation=-1&cityId=-1&cType=-1&courseLevel=-1&subType=0&showCluster=-1&channelId=home_page
https://www.shiksha.com/search/index?keyword=MBA&location=&searchType=course&cat_id=-1&countOffsetSearch=25&startOffSetSearch=0&subLocation=-1&cityId=-1&cType=-1&courseLevel=-1&subType=0&showCluster=-1&channelId=home_page
Kindly revert for any further queries, also if you liked this answer then rate it 'Best answer' or give a 'Thumbs Up' rating.
All the Best!