Question

Multiple Choice Question :

If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true ______

विकल्प

• (A × C) ⊂ (B × D)

• (B × D) ⊂ (A × C)

• (A × B) ⊂ (A × D)

• (D × A) ⊂ (B × A)

Answer 1

(A × C) ⊂ (B × D)

Explanation;

Hint: n(A × B) = 2 × 4 = 8

(A × C) = 2 × 2 = 4

n(B × C) = 4 × 2 = 8

n(C × D) = 2 × 4 = 8

n(A × C) = 2 × 2 = 4

n(A × D) = 2 × 4 = 8

n(B × D) = 4 × 4 = 16

∴ (A × C) ⊂ (B × D)