let $\displaystyle \rho , \sigma , \tau $ be the element of $\displaystyle S_{6} $ given by

$\displaystyle \rho=(26) , \sigma = (123) , \tau = (45) $

(1). Find $\displaystyle \rho \sigma \tau $and $\displaystyle \rho^{-1} \sigma^{-1} \tau^{-1} $

and verify $\displaystyle ( \rho \sigma \tau )^{-1}= \rho^{-1} \sigma^{-1} \tau^{-1} $

(2). find the order of $\displaystyle \sigma \tau $and $\displaystyle \rho \sigma $