# 99 questions/Solutions/25

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Revision as of 13:08, 10 May 2014 by Remi.berson (talk | contribs) (first solution used diff_select instead of rnd_select)

Generate a random permutation of the elements of a list.

```
rnd_permu :: [a] -> IO [a]
rnd_permu xs = rnd_select xs (length xs)
```

Uses the solution of problem 23 (rnd_select). Choosing N distinct elements from a list of length N will yield a permutation.

Or we can generate the permutation recursively:

```
import System.Random (randomRIO)
rnd_permu :: [a] -> IO [a]
rnd_permu [] = return []
rnd_permu (x:xs) = do
rand <- randomRIO (0, (length xs))
rest <- rnd_permu xs
return $ let (ys,zs) = splitAt rand rest
in ys++(x:zs)
rnd_permu' [] = return []
rnd_permu' xs = do
rand <- randomRIO (0, (length xs)-1)
rest <- let (ys,(_:zs)) = splitAt rand xs
in rnd_permu' $ ys ++ zs
return $ (xs!!rand):rest
```

Or we can use the `permutations`

function from `Data.List`

:

```
import System.Random (getStdGen, randomRIO)
import Data.List (permutations)
rndElem :: [a] -> IO a
rndElem xs = do
index <- randomRIO (0, length xs - 1)
return $ xs !! index
rndPermutation :: [a] -> IO [a]
rndPermutation xs = rndElem . permutations $ xs
```

WARNING: this may choke long lists