In a class of 40 students, each one plays either Tennis or Badminton or both. If 28 play Tennis and 26 play Badminton, find : how many play both the games;
There is a group of 50 persons who can speak English or Tamil or both. Out of these persons, 37 can speak English and 30 can speak Tamil : How many can speak English only?
Let U = {a, b, c, d, e, f, g} be the universal set and let its subsets be A = (a, b, d, e) and B = (b, e, g).Verify that : $( A \cap B )^{\prime}=\left( A ^{\prime} \cup B ^{\prime}\right)$
Let U = {a, b, c, d, e, f, g} be the universal set and let its subsets be A = (a, b, d, e) and B = (b, e, g).Verify that : $( A \cup B )^{\prime}=\left( A ^{\prime} \cap B ^{\prime}\right)$
Let U = (5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) be the universal set and let Let P = {x: x is a factor of 18) and Q = (x: x is a factor of 24) : Find : (a) $P \cup Q$ (b) $P \cap Q$