Well, assuming that your 1st preference is CS at Pilani. EEE at Pilani is arguably one of the most difficult branches out there. Based on the conversations I had with my friends from both the BITS campus, here is what I can tell you about the courses.

• You generally have to compete with the top students on the Campus. Also, the EEE course material is not everyone's cup of tea.
• The EEE placements are quite good, though not for everyone. There are more high pointers in EEE than in any other branch. Thus good companies prefer to hire from among those.
• Placements might be better for CS at Goa, though in some other respects you might sell yourself short with this choice.

So, if you want an easy life, better go for CS in Goa. Otherwise, choose EEE at Pilani.

According to some of my friends studying at BITS Goa, it is undeniably a very established institute to pursue Computer Science (CS). One of the main reasons is the faculty BITS Goa essentially involves. Under their supervision, you will be part of handling several projects in your course of study.

However, at times, it might get quite difficult securing certain individual projects under the guidance of professors due to a huge amount of competition.

Here is the latest placement report of BITS Goa,

On the flip side, you will indisputably acquire a good set of experience from both PS 1 and PS 2. The placement drive is usually very robust, since the institute is often visited by various top IT firms. However, since the competition is quite high, it might get slightly difficult. Although, it will be worth it nonetheless.

The answer to this question depends on various factors but to keep it short let’s talk about the NIRF-2019 ranking (engineering category) and placement statistics (CSE Branch) of the institutes.

IIT Dhanbad has been ranked at 15th among NIRF Ranking 2019. According to the placement statistics of 2019-20, the percentage of b-tech computer science students placed during campus placements was 90.23%. The percentage of B. Tech & M. Tech in Computer Science & Engineering (dual degree) placed during campus placements was 66.67% with the highest CTC of INR 23.80 LPA. The highest salary package offered in the computer science branch (B. Tech) was 39.50 LPA. The overall average package offered in all the b-tech branches was 15.50 LPA. Major recruiters include Accenture, Goldman Sach, Synopsys, Microsoft, Flipkart, Siemens, Amazon, Adobe, etc.

Indian Institute Of Technology, Bhubaneswar has a NIRF Ranking-17. The placement statistics 2019-20 reveal the overall percentage of b-tech students placed during campus placement drives was around 89.55%. The percentage of computer science students placed was 100% this year but the average CTC offered to the students was less than that of IIT Dhanbad. The highest package offered to the computer science branch was INR 39 LPA. The major recruiters included Amazon, Adobe, Accenture, Akash Institute, BYJU, Atkins, Angel Broking, DELL, Honeywell, INTEL technology, etc. The average package offered was 11.90 LPA.

Finally, other facilities such as labs, faculty, and other infrastructure at ISM Dhanbad is better than that of IIT Bhubaneswar as the former is one of the oldest elite institutes of the country.

However, the final decision is yours to make considering both pros and cons for different aspects.

CSE at IIIT Allahabad wins hands down when the choice is between IIIT-A and BITS Goa. Both institutes have the same coursework for CSE, but IIIT-A offers it for one-third the fee of BITS Goa. Most of the students opt for BITS just for the brand name. The faculty at the BITS campus is not as good as that of IIIT Allahabad as it is funded by MHRD while BITS is a private institute. 

IIIT-A is popular for its coding culture. IT is one of the flagship courses offered there and placement records are at their best. Placement in the software domain is any day better at IIITs when compared to BITS. 

The following table shows a brief overview of the institutes:

IIIT Allahabad is the best choice among the two with good placement records, perfect campus, amazing faculties, and facilities. Being a government-affiliated institute has its own merits when compared to BITS Pilani Goa.

The preference is always given to BITS Goa as it belongs to the most reputed family of BITS institute. One of my friends has studied there and he loves the campus from all aspects.

The major reasons as to why BITS Goa is to be preferred are:

Scope

• CSE has more job opportunities in the market as compared to other branches of engineering. 
• If you even go for a core organization in the chemical field; the highest package is not more than 6 LPA. 
• In the case of CSE, if you are into coding a good package can be cracked.
• The highest package is close to 1.40 crore in BITS Goa. The average also stands at a decent place. 
• The prominent recruiters are - ADM Argo, Adobe, Bajaj Auto, Capgemini, CGI, Cisco, DE Shaw, EXL Services, Razor Pay, Reliance Jio, Freshworks and Goldman Sachs.

Faculty

• The computer science faculty cannot be compared with chemical engineering. 
• CS faculty is amazing having well-equipped knowledge in the field to deal with real competition. They all are efficient in imparting real practical skill set to their students in a proper manner.

Campus

• Goa is a place people look out for holidays, and having a college in Goa makes it even more fascinating and attractive. 
• Certain limitations are also imposed on students. You cannot leave the campus before 5 PM and you should return back by 11 PM. 

BITS Goa makes it a better option on all fronts whether its faculty, campus, or scope. Having this outlook will help you get to a good institute. The stream can be a point of interest but other factors also matter.