While DAIICT is a good place, and has this strength that you join an IT program where you could choose to do more CS or more ECE through electives and the core program gives you explosure to both CS and ECE, I think it is not correct to say that the industry including industry giants like google and facebook are looking for that combination. That mix has its niche and is an attractive and important niche today, but the industry is too big and can accommodate all types. And indeed Google and Facebooks of the world hire more CS people than IT/ECE people (though that is not a reflection on whether they would prefer IT/ECE people, may be they hire CS people because others are not available in as much abundance).

And hence I would suggest that people should consider whether they are genuinly interested in that niche area, or would they rather study a regular CSE or a regular ECE program. And if you will consider a regular CS program, there is no doubt in my mind that one should prefer IIITH and IIITD over other institutes focussed on IT areas.