A permutation group 'P' is defined as a one-one mapping of non-empty finite set X, onto itself i.e.,
P: X-> X.
where X={1,2,3,...,n}
S is the set of all permutation 'P' on X.
$P1=\begin{pmatrix} 1 &2 &3 &... &n \\ P1(1)&P1(2) &P1(3) &... &P1(n) \end{pmatrix}$,$P2=\begin{pmatrix} 1 &2 &3 &... &n \\ P2(1)&P2(2) &P2(3) &... &P2(n) \end{pmatrix}$ and so on.
what is the cardinality of power set of S _______? Given n=3.