Analyze the logical form of the following statements using only the connectives

$,,$ and $.$

$($a$)$ Either Alice, Bob, and Jones are in the room, but the three of them are not

all in the room at the same time.

$($b$)$ Either Alice is wearing sun glasses or wearing a hat or wearing both.

$($c$)$ It is not the case that today is not Friday.

$2.$ Which of the following are well$-$formed formulas?

$($a$).$

$($b$)().$

$($c$).$

$($d$)()().$