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…

Let $\displaystyle S=\{1,2,3,4,5,6\}$. Then the number of one-one functions $\displaystyle f: \mathrm{S} \rightarrow \mathrm{P}(\mathrm{S})$, where $\displaystyle \mathrm{P}(\mathrm{S})$ denote the power set of S , such that $\displaystyle f(n) \subset f(\mathrm{~m})$ where $\displaystyle n<m$ is $\displaystyle \_\_\_\_$.