If set A has 3 elements and set B = {3, 4, 5}, then find the number of elements in (A × B).
Model Answer & Options
Source: Extra Practice3
6
9
27
Explanation
The number of elements in the Cartesian product of two sets A and B is given by n(A × B) = n(A) × n(B). Here, n(A) = 3 and B = {3, 4, 5}, so n(B) = 3. Thus, n(A × B) = 3 × 3 = 9. Option 3 is correct. Options 3 and 6 are incorrect counts, and 27 would be the number of elements in A × B × C if n(C) was also 3.
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