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.