Implement the function permutations() that takes a list lst as input and returns a list of all permutations of lst (so the returned value is a list of lists). Do this recursively as follows: If the input list lst is of size 1 or 0, just return a list containing list lst. Otherwise, make a recursive call on the sublist l[1:] to obtain the list of all permutations of all elements of lst except the first element l[0]. Then, for each such permutation (i.e., list) perm, generate permutations of lst by inserting lst[0] into all possible positions of perm.

>>> permutations([1, 2])

[[1, 2], [2, 1]]

>>> permutations([1, 2, 3])

[[1, 2, 3], [2, 1, 3], [2, 3, 1], [1, 3, 2], [3, 1, 2], [3, 2, 1]]

>>> permutations([1, 2, 3, 4])

[[1, 2, 3, 4], [2, 1, 3, 4], [2, 3, 1, 4], [2, 3, 4, 1],

[1, 3, 2, 4], [3, 1, 2, 4], [3, 2, 1, 4], [3, 2, 4, 1],

[1, 3, 4, 2], [3, 1, 4, 2], [3, 4, 1, 2], [3, 4, 2, 1],

[1, 2, 4, 3], [2, 1, 4, 3], [2, 4, 1, 3], [2, 4, 3, 1],

[1, 4, 2, 3], [4, 1, 2, 3], [4, 2, 1, 3], [4, 2, 3, 1],

[1, 4, 3, 2], [4, 1, 3, 2], [4, 3, 1, 2], [4, 3, 2, 1]]

Answer:

def permutations(myList: list)-> list:  

   if len(myList) <= 1:  

       return [myList]  

   perm = []  

   for i in range(len(myList)):  

      item = myList[i]  

      seglists = myList[:i] + myList[i+1:]  

      for num in permutations(seglists):  

          perm.append([item] + num)  

   return perm

data = [1,2,3]  

result = permutations(data)  

print(result)

Explanation:

The program defines a python function that returns the list of permutations. The program checks if the length of the input list is less than or equal to one. The function declaration identifies the input and output as lists.

The for loop iterate through the list and the permutations are saved in an empty list in the next loop statement. At the end of the program, the list of lists is returned.

A data science experiment you are conducting has retrieved two historical observations for the price of Bitcoin(BTC) on December 2, 2017 of 11234 and 12475. Create a Python script that stores these two historicalobservations in a list variable namedbtcdec1.Your data science experiment requires four additional data tasks. The first task is to use the listappend()method to add the BTC price of 14560 to the listbtcdec1. The second task is to create a new empty listnamedbtcdec2and append the BTC prices of 15630, 12475, and 14972. The third task required you to usethe listextend()method to add the contents ofbtcdec2into the listbtcdec1. The fourth and final taskrequires you to use the listsort()method of the listbtcdec1to sort the items in the newly extended list,then use theprintstatement to output the content of listbtcdec1to the Python console.Starter code:_______.

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la
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The surrounding area of this image is called
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Student_ID

Student_Name

Assignment_1_Date

Assignment_1_Name

Assignment_1_Grade

Assignment_2_Date

Assignment_2_Name

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Assignment_3_Date

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1011

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send (a/b)
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