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[answered] Let S = {1,2,3,4,5,6,7,8,9} and T = {1,2,3,4,5}. Let R be t


1. Let S = {1,2,3,4,5,6,7,8,9}?and T = {1,2,3,4,5}. Let R be the relation on P (S) defined by:?

For any?X,Y belongs to?P(S), XRY<=>|?X?T?=?Y?T?.

(a) Prove that R is an equivalence relation.
(b) How many equivalence classes are there? Explain.
(c) How many elements does [??have??

(d) How many elements does [T] have?
(d) How many elements does [?1?2?] have?

 


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