Verify it is equiv. rel.

For the set X={m,n,p,q,r,s}, let R be the relation on P(X) (power set of X) given by A R B iff A and B have the same number of elements.

Now, list all elements in {m}/R; in{m,n,p,q,r}/R. How many elements are in X/R? How many in P(X)/R?

I know I need to show it is symmetric, transitive, and reflexive. I know how to this when we have like equations and things, but this one is confusing for me. Please help. Thank you.