Ononot — Let A be the set of distinct letters in the word "PROBABILIT

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Set Theorymedium

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Let $A$ be the set of distinct letters in the word "PROBABILITY" and $B$ be the set of distinct letters in the word "STATISTICS". Find the cardinality of the power set of $A \setminus B$ , denoted by $n(\mathcal{P}(A \setminus B))$ .