METH $201,$ Homework $41)$ The American Airlines $($AA$)$ CEO has asked you to form a task force of $8$ airline executives to study company's growth. Of the $30$ candidates, $8$ are in finance, $6$ are in marketing, $9$ are in accounting, and the rest are in operations. If the trails $($i$.$e$.,$ selection of individual airline executives$)$ are dependent, calculate the probability that exactly $2$ executives from each of the four $(4)$ functional areas are on the task force.