If A = {a, b, c} and B = {p, q}, then find :

(i) A x B (ii) B x A (iii) A x A (iv) B x B (v) n (A x B) (vi) n (B x A) (vii) n (A x A) (viil) n (B x B).

If A = {1, 2}, B = {3, 4} and C ={x : x is even x divides 15}, that show that 

State whether each of the following statements are True or False. If the statement is False, re-write it correctly.

 (i) P = {m, n} and Q = {n, m}, then P x Q = {(m, n), (n, m)}

(ii) If A and B are two non-empty sets, then A x B is a non-empty set of ordered pairs (x, y) such that .

(iii) If A = {1, 2}, B = {3, 4}, then 

If A = {–1, 1}, find A × A × A.