Which of the following is true for the statements p and q ?

(a) We know that, $\mathrm{p}\wedge \mathrm{q}$ is true when both p and q are true.
(b) We know that, $\mathrm{p}\to \mathrm{q}$ is false when p is true and g is false.
(c) We know that, $\mathrm{p}\leftrightarrow \mathrm{q}$ is true when either both p and q are true or both are false.
(d) If p and g both are false, then $\mathrm{p}\vee \mathrm{q}$ is false $\Rightarrow \sim (\mathrm{p}\vee \mathrm{q})$ is true.
Hence, option (d) is true.