Which 3 year program are you asking about?
AILET examination is conducted to offer following programs :-
*BA LLB ( 5 year integrated llb)
*LLM ( master of law - 2 years)
You are not eligible for llm or master of law as to be eligible you need to do undergraduate in law i. e llb or equivalent first .
To do llb ,one has 2 options :-
* 5 year integrated llb like ba llb, after 12th
* llb, 3 year after graduation
So , after bsc, you can go for 3 year llb but AILET is not the entrance exam for the same.
You can go for DU llb or bhu llb entrance examination, as they offer 3 year llb.
And yes being, a final year student you will be eligible for 3 year LLB entrance examinations
Here's du llb eligibility criteria :-
*To be eligible you need to be a graduate in any discipline from a recognised University and must have got at least 50% in graduation if belong to general category or 45% belong to OBC category for 40% belong to Sc or St category to be eligible.
* Also candidates who are in final year /semester are eligible
For details visit
AILET which is All India Law Entrance Exam is conducted by National Law University for admission of five years integrated BA-LLB(Hons), postgraduate course of LLM and PhD in law, LLB of three years duration isn't offered, in case you want to pursue the same you can go for DU LLB, BHU UET, LSAT, MAH CET LAW, KLEE, TS LAWCET, AP LAWCET etc. for more detailed information check out at https://nludelhi.ac.in/home.aspx#
You can also visit our page at https://www.careers360.com/university/national-law-university-new-delhi/courses to know more details regarding this.