Functions

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 ____________.