Construct a Truth Table for the Statement $\sim p \rightarrow(\sim p \wedge \wedge q)$

Construct a truth table for the statement.
- $\sim p \rightarrow(\sim p \wedge \wedge q)$

A)
$\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \sim \mathrm{p}-(\sim \mathrm{p} \wedge \mathrm{q}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}$

B)
$\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \sim \mathrm{p} \sim \sim \mathrm{p} \wedge \mathrm{q}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}$

C)
$\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \sim \mathrm{p}-(\sim \mathrm{p} \wedge \mathrm{q}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}$

D)
$\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \sim \mathrm{p}-(\sim \mathrm{p} \wedge \mathrm{q}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{T}\end{array}$

Correct Answer:

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