data bases

Given the following relation R={Z,N,S,M,P,X,Y} with these functional dependencies F={MS,SPX,ZSY,YN,MP} find what other functional dependencies hold by applying some of Armstrong's Axioms (in parentheses is the expected number of new DFs). - Augmentation (1 DF) - Union (1 DF) - transitivity (2 DFs, each derived from one of the 2 new DFs found in a. and b.) - Pseudotransitivity (1 DF)