Based on the following PAL implementation of a multi$-$input $(x,Y,Z)$ multi$-$output $(F1,F2,F3)$ combinational system, possible descriptions of outputs $F1,F2$ and

$F1=YZ+x{Y}^{\text{'}},F2=Y^{\text{'}}Z+Y{Z}^{\text{'}}+xY,F3=Y^{\text{'}}Z+x{Y}^{\text{'}}$

$F1={\displaystyle \underset{?}{\overset{?}{}}}m(3,4,5,7),F2={\displaystyle \underset{?}{\overset{?}{}}}m(1,2,5,6,7),F3={\displaystyle \underset{?}{\overset{?}{}}}m(1,4,5)$

$F1=YZ+x{Y}^{\text{'}},F2=Y^{\text{'}}Z+Y{Z}^{\text{'}}+xZ,F3=Y^{\text{'}}Z+x{Y}^{\text{'}}$

Only a$)$ is true.

None of the above are true

a$),$b$),$c$)$ are all true.