According to Article 81 of the Constitution (before the 104th Amendment Act, 2019 fully took effect regarding nominated seats), the House of the People (Lok Sabha) shall consist of: (a) not more than 530 members chosen by direct election from the States, and (b) not more than 20 members to represent the Union Territories, chosen in such manner as Parliament may by law provide. Additionally, Article 331 allowed the President to nominate not more than two members of the Anglo-Indian community if he was of the opinion that the community was not adequately represented. Summing these maximums gives 530 + 20 + 2 = 552. Although the provision for nominating Anglo-Indians was abolished by the 104th Amendment Act, 2019, effective from January 2020, the question asks for the maximum number it "may go up to," which refers to the constitutional limit as it existed before this change. The current strength is 543 (524 from States + 19 from UTs), but the constitutional maximum remains 550 elected members (530 from States + 20 from UTs) plus the previously possible 2 nominated members, totalling 552.