(i) It is observed that A ∩ B = Φ
∴ A and B are mutually exclusive.
Thus, the given statement is true.
(ii) It is observed that A ∩ B = Φ and A ∪ B = S
∴ A and B are mutually exclusive and exhaustive.
Thus, the given statement is true.
(iii) It is observed that
Thus, the given statement istrue.
(iv) Itis observed that A ∩ C = {(2, 1), (2, 2), (2, 3), (4, 1)} ≠Φ
∴A and C are not mutually exclusive.
Thus, thegiven statement is false.
(v) 
∴A and 
are not mutually exclusive.
Thus, thegiven statement is false.
(vi) Itis observed that 
;
However, 
Therefore, events 
are not mutually exclusive andexhaustive.
Thus, thegiven statement is false.