Hi Aspirant,
There are two perspectives to it. The first is the branch and the second is college. NIT Allahabad is a much better college than BITS Hyderabad. There is almost no comparison between them. And second is a branch, which is your passion.
If your passion is to pursue engineering in CSE, then try for some other NITs. I hope you will get some new NITs. In case you don't get any NITs, then you can go with BITS Hyderabad.
But, if the branch is not a restriction for you, I will suggest you go for Electrical in NIT Allahabad as it is one of the country's finest engineering colleges, and placement is also excellent. In contrast, Electrical is a core branch of engineering and has no fewer opportunities than CSE.
Hope this helps you.
All the best.
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