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 _ _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Morning shift · Q38

JEE Main 202330 Jan, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

S=\{1,2,3,4,5,6\}

. Then the number of one-one functions

f: \mathrm{S} \rightarrow \mathrm{P}(\mathrm{S})

, where

\mathrm{P}(\mathrm{S})

denote the power set of

\mathrm{S}

, such that

f(n) \subset f(\mathrm{~m})

where

n < m

is ____________.

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