Relations And Functions Practice Questions Ques8
Question: If A = {1, 2, 3} and B = {x, y, z}, what is the cardinality of A × B?
Options:
(A) 3
(B) 6
(C) 9
(D) 18
Show Answer
Answer: C
Explanation:
(A) 3 is incorrect as it’s only the cardinality of set A or B.
(B) 6 is incorrect as it’s not the total number of ordered pairs.
(C) 9 is correct as |A × B| = |A| × |B| = 3 × 3 = 9.
(D) 18 is incorrect as it’s not the result of 3 × 3.