See the picture. 6f) For the set X = {m,n, p, q, r, s}, let R be a relation on P(X) (the power set of X), given by A R B iff A andB have the same number of elements. How many elements are in X? How many elements are in P(X)/R, orP(X) modulo R?Attempt:If æ E A and y E B, then A E P(X) means A C X and BE X means BC X. If B= X, then we have A R X. Hence wemust find all subsets of X (using the definition A e X) such that they contain the same number of elements as X. Therefore,we must find all subsets of X that contain 6 elements. Since only X contains 6 elements, one set is inX = {X € P(X) : A R X}. Therefore, X has one element.X can also be stated as(). Moreover, since you are choosing 6 out of 6 elements for X, the total number number of elementsin P(X)/R = {A: A € P(X)} = {A: AC X} is therefore –1+ () (due to Ø having zero elements). Therefore wehave –1+ (() + (9) + (9) + () + (9) + (9) + () = -1+ (1+6+ 15+ 20 + 15 + 6 +1) = 64 – 1 = 63. HenceP(X)/Rhas 63 elements.Question: Am I correct?

Name: See the picture. 6f) For the set X = {m,n, p, q, r, s}, let R be a rel
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Description: See the picture. 6f) For the set X = {m,n, p, q, r, s}, let R be a relation on P(X) (the power set of X), given by A R B iff A andB have the same number of elements. How many elements are in X? How many elements are in P(X)/R, orP(X) modulo R?Attempt