B.A

There is no cut-off as such, it depends upon your rank.

Hi Aroup,
Yes, you can still apply for the same. The eligibility criteria and average course fee charged in India for the course vary from institute to institute. The minimum criterion of eligibility needed to be met for admission to the course is a 10+2 or equivalent qualification from a recognised institute/ university.

Which university?
As every university had a different criteria. If you do B.A. Programme from DU SOL that is correspondence, B.A. Programme is a course in which you don't get specialisation in any subject. But, you get to study 2 different subjects with specializations in neither. It's good for people wanting to do UPSC or any other government job like it.

She cannot take admission in B.A. Economics (Hons.). Without maths being one of her subjects in 12th in DU in spite of a good percentage.

I think, no because D.El.Ed is not considered as a graduate degree. It's only a Diploma of 2 years. It's better that you go for graduation which is 3 year full fledged course. Also, graduation had more value. Or, for better option, you can go for B.El.Ed, a 4-year course. After that, you are eligible for teaching. Then, you don't need to pursue B.Ed.
I hope this helps.

It is different for different colleges and universities.
In DU, fees for English Hons can range from 10k per annum to 15k per annum.
In Mumbai, colleges like St. Xavier's cost 6k per annum.
Looking down to private and semi private college like amity then the fees can be as high as 50k per semester.

Please check for your eligibility to pursue B.A. in Film, Television and New Media Production at University of Mumbai, Fort Campus from the criteria mentioned at the link provided below. Admission process followed to secure a seat for this course is also mentioned at this link. Regards.
https://www.shiksha.com/mass-communication-media/film-tv/course/b-a-in-film-television-and-new-media-production-university-of-mumbai-fort-campus-fort-224520

Where are you looking for admission? Please state the location.

B A mass communication faculty is good. There are more teachers for one department. So, the faculty is good in Francis.