Question

$A$ and $B$ are two sets having $3$ and $5$ elements respectively and having $2$ elements in common. Then the number of elements in $A\times B$ is

• A. $6$
• B. $36$
• C. $15$
• D. none of these

Answer 1

The correct option is C $15$

$(a\times b)$ is different from $(b\times a)$
Thue if $A=\{a,b,c\},B=\{a,b,d,e,f\}$
then $A\times B$ will contain $3\times 5=15$ elements.