Permutations of r objects from a set of n unique objects is defined as all possible orderings of

the subsets of size r from this set. Implement a function permutations, which takes an array L $($which can be a list, a

tuple or a string$),$ and returns a list$$of$-$tuples containing all permutations of size $3$ from its elements. You can assume

that the array L contains no repetitions $($i$.$e$.,$ all elements are unique$).$

Here are sample runs for the expected return from the permutations function.

In $[1]$: L $=[0,1,2,3]$; out $=$ permutations$($L$)$; print$($out$)$

$[(0,1,2),(0,1,3),(0,2,1),(0,2,3),(0,3,1),(0,3,2),(1,0,2),(1,0,3),(1,2,0),(1,2,3),(1,3,0),(1,3,2),(2,0,1),(2,$

$0,3),(2,1,0),(2,1,3),(2,3,0),(2,3,1),(3,0,1),(3,0,2),(3,1,0),(3,1,2),(3,2,0),(3,2,1)]$

In $[2]$: L $=$ "bric"; out $=$ permutations$($L$)$; print$($out$)$

$[(\text{'}$b$\text{'},\text{'}$r$\text{'},\text{'}$i$\text{'}),(\text{'}$b$\text{'},\text{'}$r$\text{'},\text{'}$c$\text{'}),(\text{'}$b$\text{'},\text{'}$i$\text{'},\text{'}$r$\text{'}),(\text{'}$b$\text{'},\text{'}$i$\text{'},\text{'}$c$\text{'}),(\text{'}$b$\text{'},\text{'}$c$\text{'},\text{'}$r$\text{'}),(\text{'}$b$\text{'},\text{'}$c$\text{'},\text{'}$i$\text{'}),(\text{'}$r$\text{'},\text{'}$b$\text{'},\text{'}$i$\text{'}),(\text{'}$r$\text{'},\text{'}$b$\text{'},\text{'}$c$\text{'}),(\text{'}$r$\text{'},\text{'}$i$\text{'},\text{'}$b$\text{'}),(\text{'}$r$\text{'},\text{'}$i$\text{'},\text{'}$c$\text{'}),(\text{'}$r$\text{'},$

$\text{'}$c$\text{'},\text{'}$b$\text{'}),(\text{'}$r$\text{'},\text{'}$c$\text{'},\text{'}$i$\text{'}),(\text{'}$i$\text{'},\text{'}$b$\text{'},\text{'}$r$\text{'}),(\text{'}$i$\text{'},\text{'}$b$\text{'},\text{'}$c$\text{'}),(\text{'}$i$\text{'},\text{'}$r$\text{'},\text{'}$b$\text{'}),(\text{'}$i$\text{'},\text{'}$r$\text{'},\text{'}$c$\text{'}),(\text{'}$i$\text{'},\text{'}$c$\text{'},\text{'}$b$\text{'}),(\text{'}$i$\text{'},\text{'}$c$\text{'},\text{'}$r$\text{'}),(\text{'}$c$\text{'},\text{'}$b$\text{'},\text{'}$r$\text{'}),(\text{'}$c$\text{'},\text{'}$b$\text{'},\text{'}$i$\text{'}),(\text{'}$c$\text{'},\text{'}$r$\text{'},\text{'}$b$\text{'}),$

$(\text{'}$c$\text{'},\text{'}$r$\text{'},\text{'}$i$\text{'}),(\text{'}$c$\text{'},\text{'}$i$\text{'},\text{'}$b$\text{'}),(\text{'}$c$\text{'},\text{'}$i$\text{'},\text{'}$r$\text{'})]$