BUILT-IN MATHEMATICA SYMBOL

RandomPermutation

RandomPermutation[gr]
gives a pseudorandom permutation in the permutation group gr.

RandomPermutation[gr, n]
gives a list of n pseudorandom permutations in the permutation group gr.

Details Details

Permutations are returned with uniform distribution in the given group.
The result is given in disjoint cyclic form, with head Cycles.
RandomPermutation[d] and RandomPermutation[d, n] return permutations in the symmetric group of degree d.
RandomPermutation gives a different sequence of pseudorandom permutations whenever you run Mathematica. You can start with a particular seed using SeedRandom.
A Method option to SeedRandom can be given to specify the pseudorandom generator used.