In the following question, the domain is the set of employees at a company. One of the employees is named Sam. Define the following predicates:

T$($x$)$: x is a member of the executive team

B$($x$)$: x received a large bonus

Translate the following English statements into a logical expression with the same meaning.

$(0)$ Generate a truth table for T$($x$)$ and B$($x$)$ containing $12$ columns, T$($x$),$ B$($x$),$T$($x$),$B$($x$),$ T$($x$)$ B$($x$),$T$($x$)$ B$($x$),$ T$($x$)$B$($x$),$T$($x$)$B$($x$),$ T$($x$)->$ B$($x$),$T$($x$)->$ B$($x$),$ T$($x$)->$B$($x$),$T$($x$)->$B$($x$).$

$($a$)$ Someone did not get a large bonus.

$($b$)$ Everyone got a large bonus.

$($c$)$ Sam did not get a large bonus even though he is a member of the executive team.

$($d$)$ Someone who is not on the executive team received a large bonus.

$($e$)$ Every executive team member got a large bonus.