Hello aspirant!!

From your opinion it seems like that you want only government job so first of all it is not necessary that you can't do government job after opting CSE as there are not more jobs but you can try.

Next,if you are little confused between ECE and EEE then there will be two option if you are interested in hardware electronic components and electrical component then no doubt you should opt for EEE but if you are also interested in coding and web development then go for ECE as it have greater scope.

Hope it helps!!

Good luck!!