Let S = {1, 2, 3, 4, 5, 6}. Then the number of one-one functions f : S P ( S ) , where P ( S ) denote the power set of S, such that f ( n ) f ( m ) where n m is __________ . [2023]

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Q.
Let S = {1, 2, 3, 4, 5, 6}. Then the number of one-one functions $f : S \to P (S),$ where $P (S)$ denote the power set of S, such that $f (n) \subset f (m)$ where $n < m$ is __________ . [2023]

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