5 Let Ļ be the relation on the power set P(S) of a finite set S of cardinality n defined Ļ by (A, B) ā Ļ iff A ā© B = ā
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a. Consider the specific case n = 3, and determine the cardinality of the set Ļ.
b. What is the cardinality of Ļ for an arbitrary n? Express your answer in terms of n. (Hint: There are three places that each element of S can go in building an element of Ļ.)