The set (A ∩ B′)′ ∪ (B ∩ C) is equal to

Suppose A₁, A₂, ..., A₃₀ are thirty sets each having 5 elements and B₁, B₂, ..., B_n are n sets each with 3 elements, let and each element of S belongs to exactly 10 of the A_i’s and exactly 9 of the B,’S. then n is equal to

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,

Let F₁ be the set of parallelograms, F₂ the set of rectangles, F₃ the set of rhombuses, F₄ the set of squares and F₅ the set of trapeziums in a plane. Then F₁ may be equal to

Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then