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.