Translate the Statement into Symbols Then Construct a Truth Table $\mathrm{p}=$

Multiple Choice

Translate the statement into symbols then construct a truth table.
- $\mathrm{p}=$ At most, 100 guests arrived at the wedding reception.
$\mathrm{q}=$ There was a lot of cake left over.
It is not the case that, at most, 100 guests arrived at the wedding reception and there was a lot of cake left over.

A)
$\begin{array} { c c c } \mathrm { p } & \mathrm { q } & \sim ( \mathrm { p } \wedge \mathrm { q } ) \\\hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\\mathrm { T } & \mathrm { F } & \mathrm { F } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { F }\end{array}$
B)
$\begin{array} { c c c } \mathrm { p } & \mathrm { q } & \sim ( \mathrm { p } \wedge \mathrm { q } ) \\\hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\\mathrm { T } & \mathrm { F } & \mathrm { F } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { T }\end{array}$
C)
$\begin{array} { c c c } \mathrm { p } & \mathrm { q } & \sim ( \mathrm { p } \wedge \mathrm { q } ) \\\hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\\mathrm { T } & \mathrm { F } & \mathrm { T } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { T }\end{array}$
D)
$\begin{array} { c c c } \mathrm { p } & \mathrm { q } & \sim ( \mathrm { p } \wedge \mathrm { q } ) \\\hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\\mathrm { T } & \mathrm { F } & \mathrm { T } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { F }\end{array}$