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Let X be a non - empty set P(X) be the p...

Let X be a non - empty set P(X) be the power set of X. Consider the binary operation `""^(**)` on P(X) defined by `A""^(**)B=AnnBAAA,B in P(X)`. Show that X is the identity element as well as the only invertible element in P(X) w.r.t `""^('**')`

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The correct Answer is:
`A=X=B`
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