Hello,

Admission to BEd is done based on graduation or post graduation, hence if you're a science graduate then you can pursue pg in history and then later on go for BEd based on your pg degree, the eligibility criteria for BEd is passed bachelor's or master's degree in the relevant discipline from a recognized university securing 50% aggregate or above depending upon the norms of the colleges, there are universities such as DU, BHU, RIEs etc which conduct admission through entrance test, and in other cases it's based on the merit of the qualifying examination,  with MA History you can go for BEd in Social Science which has history, explore more detailed information about BEd at https://dqxeclau.top/courses/b-ed-bachelor-of-education

coming to your query about MA in History, see the eligibility criteria regarding this isn't same for all, what I mean is for example in BHU candidates are required to have studies history at ug level in order to seek admission in MA History, and then there is JNU which offers MA Ancient History and there is no such restrictions in this regard, so you have to go through the eligibility criteria of the concerned universities prior to applying, also there are options in distance mode which generally speaking won't ask for having studied the specific subject at ug level, explore more details about MA History at https://dqxeclau.top/courses/ma-in-history

Check out the entire list of MA History colleges at https://university.careers360.com/colleges/list-of-ma-in-history-universities-in-india