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Mathematica > Mathematics and Algorithms > Discrete Mathematics > Permutations > RandomPermutation >

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RandomPermutation

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

gives a list of n pseudorandom permutations in the permutation group gr.

RandomPermutation[d] and RandomPermutation 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.

A random permutation in the symmetric group

Five random permutations in the dihedral group of degree 10:

A random permutation in the symmetric group

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Five random permutations in the dihedral group of degree 10:

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Generate 10000 random permutations in a group:

They are generated with uniform distribution:

With degrees 0 or 1, or using the trivial group, you always get the identity permutation:

Use SeedRandom to get repeatable random permutations:

Use BlockRandom to block one use of RandomPermutation from affecting others: