If n(A) = 3, n(B) = 4, ten write n (A × A × B).

Let A = {x ϵ W : x < 2}, B = {x ϵ N : 1 < x ≤ 4} and C = {3, 5}. Verify that:

(i) A × (B ∪ C) = (A × B) ∪ (A × C)

(ii) A × (B ∩ C) = (A × B) ∩ (A × C)

If A = {3, 4}, B = {4, 5} and C = {5, 6}, find A × (B × C).

Let A = {2, 3} and B = {4, 5}. Find (A × B). How many subsets will (A × B) have?

If A × B = {(–2, 3), (–2, 4), (0, 4), (3, 3), (3, 4), find A and B.

Let A = {–3, –1}, B = {1, 3) and C = {3, 5). Find:

(i) A × B

(ii) (A × B) × C

(iii) B × C

(iv) A × (B × C)

If P = {a, b} and Q = {x, y, z}, show that P × Q ≠ Q × P.

If A = {2, 3, 4} and B = {4, 5}, draw an arrow diagram represent (A × B}.

Mark the correct alternative in the following:

If the set A has p elements, B has q elements, then the number of elements in A ×B is

If A = {9, 1} and B = {1, 2, 3}, show that A × B ≠ B × A.

If A = {x ϵ N : x ≤ 3} and {x ϵ W : x < 2}, find (A × B) and (B × A). Is (A × B) = (B × A)?