# 3-fold triples

I am having trouble coming up with a 3-fold triple system for $S=\{1,2,3\}$. The only possible triple seems to be $S$ itself, so it is not clear how the pair $\{1,2\}$ may be a subset (is this the meaning of "appears in"?) three different triples. Provided " $T$ is collection" means " $T$ is a set", so that, for example, a multiset $T=\{S, S, S\}$ is not allowed.