Q$2.[10$ points$]$Consider a transaction database that contains six items, $\{$p$,$q$,$r$,$s$,$t$,$u$\}.$TID ItemsT$1$ p$,$ q$,$ r$,$ sT$2$ p$,$ qT$3$ p$,$ qT$4$ p$,$ rT$5$ p$,$ rT$6$ q$,$ rT$7$ q$,$ ra$.$ Suppose the support of $\{$p$,$q$\}$ is the same as the support of $\{$p$,$q$,$s$\}.$ State whether thefollowing statements are true or not:a$.$ Support of $\{$p$\}$ is the same as support of $\{$p$,$s$\}.$b$.$ Confidence of the rule $\{$p$,$q$\}\{$s$\}$ is $100\%.$c$.$ All transactions that contain item p must also contain item s$.$d$.\{$p$,$ q$,$ t$\}$ is not a closed itemset.b$.$ Suppose the support of $\{$p$,$q$\}$ is the same as the support of $\{$p$,$s$\}.$ State whether thefollowing statements are true or not:a$.$ All transactions that contain item q must also contain item s$.$b$.$ The confidence of the rule $\{$p$,$q$\}\{$s$\}$ is $100\%.$c$.$ The support of $\{$p$,$q$\}$ is the same as the support of $\{$p$,$q$,$s$\}.$d$.\{$p$,$q$,$r$\}$ is not a closed itemset.