$($Answer must be in your own hand$-$writing$)$

$($a$)$ Let $p,4$ and $r$ be the statements $"$It is below freexing", $"$It fs snowing" and "I go for skiing" respectively. Obtain the truth table for the following statement: $"$If it is snowing and not below freezing, then $1$ go for skiing". $\%$

$(1$ mark$)$

$($b$)$ Show that $[(pq{)}^{{?}^{?}}(qr)](pr)$ is a tautology.

$(2$ marks$)$

$\%$

$($c$)$ Show that $(pq{)}^{{?}^{?}}(pr)$ and $p(q^{{?}^{?}}r)$ are logically equivalent.

$(2$ marks$)$