<prompt> Kutokana na mkusanyiko wa idadi tofauti, kurudi permutations wote iwezekanavyo.  <response>: To generate all possible permutations for a collection of distinct numbers, you can use a recursion algorithm called backtracking. Heres the Python code:def permutenums: def backtrackfirst: if first lennums: output.appendnums: for i in rangefirst, lennums: numsfirst, numsi numsi, numsfirst backtrackfirst 1 numsfirst, numsi numsi, numsfirst output backtrack0 return outputYou can call this function by passing in a list of distinct numbers:printpermute1,2,3This will output all possible permutations:1, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 1, 3, 1, 2 Note that this algorithm generates permutations recursively by swapping elements in the input list, thus it has On! time complexity. 