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

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2.Relations and Functions

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

A

$9$

B

$9$

C

$9$

D

$9$

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 $(A \times B)$

$ = {\rm{ (}}$ Number of elements in $A) \times {\rm{ (}}$ Number of elements in $B)$

$=3 \times 3=9$

Thus, the number of elements in $(A \times B)$ in $9$

Standard 11

Mathematics

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