If the set $A$ has $3$ elements and the set $B = {3, 4, 5}$ then find the number of elements in $(A \times B)$ ?

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Solution

It is given that set $A$ has $3$ elements and the elements of set $B$ are $3, 4$ and $5$
$\Rightarrow$ Number of elements in set $B = 3$
Number of elements in $(A \times B)$
$=$ (Number of elements in $A$ ) $\times$ (Number of elements in $B$ )
$= 3 \times 3 = 9$
Thus the number of elements in $(A \times B)$ is $9$

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