Question $3$: Let $Q$ and $T$ be two sets. Consider the following set of sets, $S.$ The set RinS if and only if the following two conditions hold

RsubeQ$T,$ and

$|R|>1($where $|R|$ denotes the size of the set $R).$

What is the value of $|S|$ as a function of $|Q|$ and $|T|?$ That is$,$ given the sizes of $Q$ and $T,$ show how you would calculate the size of $S.($Hint: How many items are in $QT?$ How many subsets of $QT$ are there?$)$