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.

In comparison to BITS Hyderabad’s EEE, NIT Calicut’s CSE, the latter would be considered a better option. However, it is entirely up to you whether you want to pursue IT jobs or electrical hardware jobs. 

• The NIT Calicut CSE batch had a 100% placement record. 
• They were offered the highest salary package of 40 LPA.
• The department of computer science is regarded as one of the best in the institute. 
• Many well reputed companies such as Direct I, Morgan Stanley and over a hundred other multinational corporations (MNCs) come to campus for recruitment. 
• When it comes to the overall development of a student NIT Calicut provides a plethora of opportunities during the tech fest TATHVA and the cultural fest RAGAM.

Tabulated difference between NIT Calicut CSE or BITS Hyderabad EEE are:

As I am not much familiar with BITS Hyderabad, I am not able to share details about the college. I had some of my friends graduating from NIT Calicut so I was able to share these details. Therefore, I believe CSE from NIT Calicut is the better option. You can interact with ex-students of BITS Hyderabad to get a proper overview of the college.

Both institutes are among the top institutions in India. So decide accordingly based on the following factors -

According to NIRF Ranking 2019, BITS Pilani is ranked at 39 and IIT BHU at 28. So the numbers show that IIT BHU has performed better over BITS Pilani in terms of infrastructure, faculties, research facilities, outreach, and location.

The IITs being run by the government body, the fee structure is less as compared to BITS Pilani. Also being government institutions, IITs have fee waiver schemes available, unlike BITS.

Electrical at IIT BHU includes only the core electrical subjects which is why a lot of the students end up preparing for software/hardware companies for the placement with a decent package since there are few companies employing core electrical students. On the other hand, BITS Pilani has a combined electrical and electronics engineering course which provides students with the knowledge of both the areas as the industry demands so and also provides opportunities in various areas. So if you are interested in learning more and in-depth about the subject, BITS Pilani should be the choice. Being a private institute, they have very flexible and effective course structures.

Overall, both the institute has good faculties. However, when it comes to IIT BHU since it is an older institute, it has many well-experienced faculties. Moreover, IITs lead in the research facilities as well as in research work.

Both institutes provide good placement opportunities to their students. According to 2019 placement statistics, a total of 88 students got placed from Electrical in IIT BHU. The average CTC ranged between 10 LPA to 58.21 LPA. While in BITS Pilani the placement percentage of EEE was around 59.3% with an average CTC of 14.86 LPA. If you are interested in MS after B.Tech, then BITS-Pilani would be better. Though IITs are popular worldwide, it is better to have the BITS tag for doing MS. If you are planning for an M.Tech or research-oriented career in India, IIT BHU is better.

Both institutes offer a huge alumni network. BITS has many alumni working in foreign, international brands. However, the alumni network of IIT BHU is a little larger since it is older and its alumni are present in every possible career paths.