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Functions question

2023 · 30 Jan · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 30 Jan · Shift 1 · Q37

Functions question

2023 · 30 Jan · Shift 1 · Q37

JEE MainMathematicsFunctionsNumerical+4 / −1

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 \lt m

is

\underline{\hspace{2cm}}

.

Numerical answer

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