We first recall the notion of $\ happy$$\ families as well as their combinatorial properties. Then we present some families which are related to \ happy$$\ families$ and investigate $\ Mathias$$\ forcing restricted to these families. In the second part we show the relation between \it Mathias$$\ forcing$ and the $\ Ramsey$$\ property and discuss the still open problem whether one can take \ Mathias'$$\ inaccessible$ away. In the last part, we sketch Shelah's construction of a model of ZFC in which there are exactly $\ 70$$\ happy$$\ ultrafilters$.