Question

If A ={apple, orange, grapes}, B = {240, 60, 90}, then the number of elements in the Cartesian Product, (A X B) of A and B.

• A. 3
• B. 9
• C. 8
• D. 6

Answer 1

Answer:

B. 9

The correct answer is Option B (9).

To find the number of elements in a Cartesian Product ($A \times B$), you simply multiply the number of elements in Set A by the number of elements in Set B.

The Formula

If $n(A)$ is the number of elements in set A and $n(B)$ is the number of elements in set B, then:
$n(A \times B) = n(A) \times n(B)$

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Step-by-Step Calculation

1. Count elements in Set A: {apple, orange, grapes} → 3 elements

2. Count elements in Set B: {240, 60, 90} → 3 elements

3. Multiply: $3 \times 3 = \mathbf{9}$