how many reflexive, symmetric, both and antisymmetric relations are there in a four element set?

Question

there is a four element set. Find out how many relations are there on this set. Out of these how many are reflexive, how many are symmetric, how many are both reflexive and symmetric both and how many are anti symmetric?

Answer 1

http://sweb.uky.edu/~jcscov0/dmath_4.htm this site is lengthy but it covers just about everything

http://en.wikipedia.org/wiki/Equivalence_relation this has many aspects on what you are asking.

http://www.answers.com/topic/equivalence-relation?cat=technology This might be your best site. It is more complete