$[5\%]$ Suppose we have a Red$-$Black tree as shown below. Let us insert $6,14$ and $11$ in order. Which of the

following statements is $($are$)$ correct?

$($A$)$ The resultant Red$-$Black tree contains $6$ red nodes.

$($B$)$ The color of node of value $8$ is black.

$($C$)$ The color of node of value $14$ is red.

$($D$)$ The parent's value of node of value $7$ is $3.$

$($E$)$ The children of node of value $10$ are red nodes.