If $n(A)$ denotes the number of elements in the set $A$ and if $n(A) = 4,\ n(B) = 5$ and $n(A \cap B) = 3$, then $n\lbrack(A imes B) \cap (B imes A) brack$ is equal to

Question

If $n(A)$ denotes the number of elements in the set $A$ and if $n(A) = 4,\ n(B) = 5$ and $n(A \cap B) = 3$, then $n\lbrack(A 	imes B) \cap (B 	imes A)brack$ is equal to

Dr. Abubacker · Accepted Answer

(b)
Given, $n(A) = 4,\ \ \ \ n(B) = 5$ and $n(A \cap B) = 3$
$	herefore n\left\lbrack (A 	imes B) \cap (B 	imes A) ightbrack = 3^{2} = 9$

Q. If $n(A)$ denotes the number of elements in the set $A$ and if $n(A) = 4,\ n(B) = 5$ and $n(A \cap B) = 3$, then $n\lbrack(A \times B) \cap (B \times A)\rbrack$ is equal to

Explanation

Reviewed by Dr. Abubacker

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