Question 1

The Cartesian product A × A has 9 elements. Two of the elements of the Cartesian product are (2, 0) and (0, 8). Find the sum of all the elements in set A. In a survey among 250 students in Nilgiri house of IITM BSc degree, the following data were found:\ • 100 students have a Hotstar subscription • 110 students have Netflix subscription • 120 students have Amazon Prime membership. • 30 students have both Hotstar and Netflix subscriptions whereas 30 students have both Hotstar and Amazon Prime and 40 students subscribe to both Netflix and Amazon Prime.\ Assuming that all students have at least one OTT subscription, determine how many students have memberships to all 3 OTT: Hotstar, Netflix and Amazon Prime? Figure from the original question paper