Select the truth assignment that proves that the argument below is not valid:

p $->$ q

q $->$ r

$$r

$\_\_\_\_\_\_\_\_\_\_$

$$ p

Question options:

p: T$,$ q: T$,$ r: F

p: F$,$ q: T$,$ r: T

p: T$,$ q: T$,$ r: T

p: F$,$ q: F$,$ r: F