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

Question

Philoid · Accepted Answer

Given: Set A has 3 elements and the set B = {3, 4, 5}

As we see the number of elements in set B = 3.

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

⇒ n(A × B) = n(A) × n(B)

⇒ n(A × B) = 3 × 3

⇒ n(A × B) = 9

Hence, the number of elements in (A×B) = 9.