Question

If $A=\{1,2,3\}$ and $B=\{3,8\},$ then
$(A\cup B)\times (A\cap B)$ is

• A. $\left\{\right(3,1),(3,2),(3,3),(3,8\left)\right\}$
• B. $\left\{\right(1,3),(2,3),(3,3),(8,3\left)\right\}$
• C. $\left\{\right(1,2),(2,2),(3,3),(8,8\left)\right\}$
• D. $\left\{\right(8,3),(8,2),(8,1),(8,8\left)\right\}$

Answer 1

Answer: (B)

$\left\{\right(1,3),(2,3),(3,3),(8,3\left)\right\}$

$(A\cup B)=\{1,2,3,8\}$
$(A\cap B)=\left\{3\right\}$

$\therefore (A\cup B)\times (A\cap B)$
$=\left\{\right(1,3),(2,3),(3,3),(8,3\left)\right\}$

Ans.$\left(b\right)$.