Question

If the set A has 3 elements and the set B = (3, 4, 5 ) then find the number of elements in (A × B)?

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Answer 1

number of elements in cartesian product can be found by simple multiplication A has 3 elements B also has three

$3 \times 3 = 9$

Answer 2

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If the set A has 3 elements and the set B = (3, 4, 5 ) then find the number of elements in (A × B)?

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It is given that set A has 3 elements and the elements of set B are 3,4 and 5

⇒ Number of elements in set B=3

Number of elements in (A×B)

= (Number of elements in A) × (Number of elements in B)

=3×3=9

Thus the number of elements in (A×B) is 9