Question

If \( n(A) = 4 \) and \( n(B) = 2 \), then \( n(A \times B) \) is?

• A. 6
• B. 8
• C. 16
• D. none of these

Hint:

The cardinality of the Cartesian product \( A \times B \) is simply the product of the cardinalities of sets \( A \) and \( B \).

Answer 1

The Correct Option is B

The cardinality of the Cartesian product \( A \times B \) is given by: \[ n(A \times B) = n(A) \times n(B) \] Given \( n(A) = 4 \) and \( n(B) = 2 \), we can substitute these values: \[ n(A \times B) = 4 \times 2 = 8 \] Thus, the correct answer is \( 8 \).