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Group Acting on a Set

Say I have a list $V$ (or a set $V$; either would be fine) of 5-tuples; e.g.,

V = [(0,1,1,0,0), (1,0,0,1,1), (0,0,0,1,0)].

Is there a pre-defined function in Sage to create a list $W$ of all 5-tuples generated when the group $S_5$ of permutations of ${1,2,3,4,5}$ acts of $V$? If not, is there a relatively quick way that I could go about this?