Hello,
First of all let's differentiate between the terms you have used, law programs are basically of two types, one is integrated law course for a duration of five years such as BA-LLB, BCom-LLB, BSc-LLB, BCA LLB etc, now CLAT is conducted for admission of integrated law courses after 12th standard, if you're already a graduate from a recognized university with 45%-50% aggregate at graduation level, then you can consider LLB which can be done after graduation, it's for a duration of three years, LLM is a post graduate degree in law for which you need to have passed integrated law of five years duration or LLB of three years from a recognized university,
you cannot pursue LLM with BCom degree as it's mandatory to have graduate degree in law of five or three years duration,
as I mentioned above CLAT isn't mandatory to study law courses, yes candidates after 12th standard can apply for CLAT and it's conducted at national level, and many government and private colleges accept its scores apart from prestigious NLUs, however there are various other entrance tests also,
since you're already a graduate, there is no point in pursuing integrated law course of five years, more so when there is an alternative option of three years LLB, generally speaking candidates who have passed graduation in any stream from a recognized university are eligible for LLB, the required aggregate at ug level differs from 45% to 50%, so you have to check out the eligibility criteria of the specific university you're interested in applying for,
admission process may be based on the merit of the qualifying examination such as in case of TNDALU, or entrance tests such as conducted by Allahabad University, Delhi University, BHU, Punjab University, etc, or even state level law exams such as MAH CET LAW, KLEE, AP LAWCET, TS LAWCET etc, explore more detailed information about LLB at https://law.careers360.com/articles/llb-full-form
also you can check out complete details regarding LLM at https://law.careers360.com/articles/llm-full-form
check out our page at https://law.careers360.com/articles/llb-admission-in-india to comprehend the difference between five years and three years law degree courses,
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