Hey , Sorry to mention but you have no chances to get a seat in muzaffarpur institute of technology with this rank as their previous cutoff ranks are much lower than yours  .You can check their previous year cutoffs by going through the following link :

https://www.careers360.com/colleges/muzaffarpur-institute-of-technology-muzaffarpur/cut-off?cid=3703&college_id=4508&exam_id=1139

And i will recommend you to take admission on the basis of any other exam ,as all the colleges accepting admissions on the basis of BCECE exam have their maximum closing ranks at around 6000 .And your rank is much more than that.

https://engineering.careers360.com/colleges/list-of-government-engineering-colleges-in-bihar-accepting-bcece

The above mentioned link may help you!.

Best hopes!