Let $A = ${$X \in P(\{1,2,3.....10\}) : 2 \le |X| \le 7$} How many minum and maximum elements are in the partial order $(A, \subseteq)$ ?
I am not quite sure, but it seems to me that there should be 5 different subsets every of which has one minimum and one maximum. Am i right ? or is there an other solution?