rank of 6210 and BC/EBC rank of 1383, you should be sure of getting CSE in BCE bhagalpur, even if you don't get CSE there, you would easily get IT at MIT muzaffarpur.

Both branches are same only with a change of some subjects!

You can also get branches like electronics and communication in MiT muzaffarpur or in BCE bhagalpur or Electrical in MiT muzaffarpur.

Best of luck for the counselling!