I have friends pursuing courses you mentioned above at either institute. Based on the discussion I have with them, here is what should be best for you,

1. The institutes can be considered quite equivalent to one another, but BITS Goa has an upper hand. 
2. M.Sc at BITS Goa can be specialized following the first year, during which you will be allocated a B.E course depending upon your CGPA. 
3. With a 6 CGPA, you can get Mechanical Engineering, which is quite an easy job. In contrast, it is better than ICE.
4. However, if your scores are high enough then you might get a seat in CSE. 
5. By the end of 5 years, you will be receiving a B.E and an M.Sc degree, which is nonetheless a smarter choice. 

However, the fees at BITS Goa are quite a lot. 

There is nothing called instrumentation engineering. The students usually study the syllabus of the electronic branch that includes learning low-level languages along with the complete command of them. 

• There is a very high demand for highly skilled engineers who know the top programming languages like TopCoder, GitHub, and many more. 
• Learning these languages totally depends upon the person that they can do without going to college.
• Becoming an electronics engineer totally depends upon the person, and their effort, not the college. 
• Some of the students follow the GATE syllabus to enter into the government sectors. 
• Some get recruitment in top private companies by learning these programming languages. The college can help you out only by giving a proper study environment that can promote your overall development. 

If you wish to join the private sector, then only the placement facility provided by the college is useful to you.

Last but not least we can say that the college for the instrumentation branch is the version of the electronics branch of engineering. It totally depends on you how much effort you are putting into the same and not depend on the college.

All of the mentioned institutes are very reputed and considered among the top engineering colleges in India. The academics and course curriculum are the best with excellent placement opportunities. A lot of reputed companies are known to visit the campuses with decent salary packages. 

Students take programming very seriously and practice it a lot as it is one of the necessary skills required to become a computer engineer. The companies select students based on their coding skills and knowledge rather than looking for academic credentials. You will be selected based on your profiles on GitHub and Topcoder. Salary packages range from 5-50 LPA depending on your skills and experience. 

I have some friends who have become managers in computer engineering through personal learning and luck too. To rank these colleges, I would put NIT Calicut first, then NIT Surathkal and BITS Goa at last. The NITs are excellent and only the main campus of BITS Pilani is comparable to the NITs. 

Both MNNIT Allahabad and ENI at BITS Goa are highly ranked technology colleges offering amazing placement opportunities to their students. NIRF ranked BITS Goa at 17^th in the University category, whereas MNNIT was ranked at 48 for B.Tech in India 2020.

MNNIT’s last year placement ranking has seen a rise in the pay packages and the best placement record of almost 97%. BITS Goa on the other hand holds a stellar placement record of 100% since its inception. But while selecting between electrical engineering at MNNIT Allahabad or ENI at BITS Goa one needs to consider certain facts such as:

Placement Opportunities:

MNNIT Allahabad –

• Almost 285 companies visited MNNIT for campus recruitments including top tier companies such as Adobe, Accenture, Deloitte, Dell, BPCL, etc.
• 792 students out of 1174 were successfully placed in some of the top companies with the highest package offered in 2019 being INR 36 Lakhs (Per Annum)and the average package offered was 7.82 Lakhs (Per Annum).

BITS Goa –

• BITS Goa is renowned for the amazing placement opportunities that it has in store for the students. Ever since the institute has been established it has a 100% placement record.
• Some of the top recruiter companies visiting there campus are Facebook, Wipro, Google, Genpact, Infosys, and Schlumberger. In the year 2019, the highest package offered was INR 35 Lakhs (Per Annum), whereas the average salary offered was INR 11.47 Lakhs (Per Annum).

In recent years both MNNIT Allahabad as well as BITS Goa have seen a considerable hike in their placement opportunities for almost all courses. It depends more on the student’s interest and feasibility to choose between electrical engineering at MNNIT Allahabad or ENI at BITS Goa.

First of all, I want to clarify that there is no such branch called CSC in either BITS Pilani or NIT Calicut. Both the colleges have Computer Science & Engineering (CSE) degrees 

• BITS Pilani is a top private engineering university. However the same cannot be said about its Goa campus. 
• NIT is a brand that is recognized instantly by almost everyone in any part of the country and this gives NIT Calicut a distinct advantage. 
• As it is a government-run college the learning environment is also better due to the better quality of students. 
• Companies also prefer NITs over private engineering colleges. You will get better job opportunities at NIT Calicut.

Hence it is suggested that CSE at NIT Calicut is a much better choice than CSE at BITS Pilani Goa campus.

The answer to the question may be crisp and short but a government college is better than a private college any day in India for higher education.

It is a comparison between two brands, BITS and NIT. The bigger and better brand is NIT when compared to BITS.

Apart from the great brand value of government colleges, studying and being graduated from a government-affiliated college has various advantages over other top private colleges. However, the option you prefer and want to pursue is completely your choice. Consider the parameters and opt for the best. 

There is no point in taking a loan for either of these colleges. NIT Jalandhar is an institute of national importance and the degree will almost be the same if not better than the one at BITS Goa.

If you are concerned about placements, then choosing BITS Goa over NIT Jalandhar might be the best option. If you’re sure that the better placements at BITS Goa will help you fend off the loans then go ahead.

It is also important to note that the EEE branch at NIT Jalandhar is more popular and has pretty good placements in itself so taking a loan is not worth it. Go for EEE at NIT Jalandhar.

All the three campuses of BITS, Pilani have been recognized as the Institutes of Eminence. The Goa campus is no exception and gets all the funds under the MHRD for any such purpose.

Getting back to your question of whether your decision was right or wrong varies. Something that may seem correct to you might not give the same feeling to someone else.

If you check out the ranks of engineering colleges in India, NIT Rourkela has a better ranking. But that does not mean that BITS Goa is bad.

Always remember that there is no such thing as a right or wrong decision. If you have made a certain decision, stick to it and try with all your might to make that work.