Question

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

Answer 1

number of elements in set A= 3
number of elements in set B = 3 { because 3, 4 and 5 are elements of set B. and hence there are three elements }

now, we have to find number of elements in ( A × B)

number of elements in A × B = number of elements in set A × number of elements in set B
= 3 × 3 = 9

hence, number of elements in (A × B) = 9

Answer 2

Answer:

n(A×B) = 9

Step-by-step explanation:

It is given that ,n( A ) = 3 ,

B = { 3 ,4 ,5 }

n(B) = 3 ,

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We know that ,

A , B are two sets ,

If n(A) = m , n(B) = n, then

n( A×B ) = m × n

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Here ,

n( A×B ) = 3 × 3 = 9

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