Consider the following proposition.

$"$If a city is in North Carolina, then it is in USA."

$($a$)$ State in English the contrapositive of this proposition

$($b$)$ State in English the converse of this proposition

$($c$)$ State in English the inverse of this proposition

$($d$)$ Obviously, the truth value of the above proposition is$"$ true". Of the three propositions

above in $($a$)-($c$),$ identify which ones are true and which ones are false.