**Let S be the set {Maine, New Hampshire, Vermont, Massachusetts, Connecticut, Rhode Island} and let R(x, y) be the relation "state x and state y begin with the same letter". How many (non-empty) sets are in the partition of S corresponding to this equivalence relation?**

I don't understand that it's asking me number of sets in a partition. Lets say A = {a,b,c,d,e,f}

a, b, c, d , e, f are the elements of A. Would this be a partition,

A = {{a,b,c},{d,e,f}} ? Would {a,b,c} be a partition of A? If so, what am I answer to how many

*sets*are in the first partition of A? In the partition, there are 3

*elements*, and its asking me

*sets*.