Let \( X \) be a nonempty set and \( { }^{*} \) be a binary operati...

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Let \( X \) be a nonempty set and \( { }^{*} \) be a binary operation on \( P(X) \), the power set of \( X \). defined, bv \( A * B=A \cap B \) for all \( A, B \in P(X) \).
\( \mathrm{P} \) Find the identity element in \( P(X) \).

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