If A and B are two sets having 3 elements in common. If n(A)=6 and n(B)=4, then $n ((A \times B) \cap (B \times A)] =$

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Solution

$(A \times B) \cap (B \times A) have the common elements of A \times B and B \times A . ∵ A and B have 3 elements in common . ∴ The common pairs will be formed with the common elements . The number of pair formed by 3 common elements = 3 \times 3 = 9$

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n ((A \times B) \cap (B \times A)] =

If A and B are two sets having 3 elements in common. If n(A) = 5 and n(B) = 4, find $n [(A \times B)$ and $n (A \times B) \cap (B \times A)]$ .

n (A) = 5, n (B) = 7

3

n ((A \times B) \cap (B \times A)) =

3

n (A) = 5, n (B) = 4

n (A \times B)

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