A permutation of length n is an ordering of the positive integers {1,2,.,n}. For example, n=(5,3,2,1,4) is a permutation of length 5. Write a Python script to solve the following, A positive integer ns7. Given: Return: The total number of permutations of length n, followed by a list of all such permutations (in any order). Sample Dataset: 3 Sample Output: 6 123 132 213 231 312 321 Your script should output the data in the same format as indicated here to the terminal/console. It will receive the value of n from the user via the terminal/console.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Please use python and comment on code so I can get a better understanding.  If you use any online resources please link them. Thank you.

A permutation of length \( n \) is an ordering of the positive integers \(\{1,2,\ldots,n\}\). For example, \(\pi=(5,3,2,1,4)\) is a permutation of length 5.

Write a Python script to solve the following,

**Given:**  
A positive integer \( n \leq 7 \).

**Return:**  
The total number of permutations of length \( n \), followed by a list of all such permutations (in any order).

**Sample Dataset:**  
```
3
```

**Sample Output:**  
```
6
1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1
```

Your script should output the data in the same format as indicated here to the terminal/console. It will receive the value of \( n \) from the user via the terminal/console.
Transcribed Image Text:A permutation of length \( n \) is an ordering of the positive integers \(\{1,2,\ldots,n\}\). For example, \(\pi=(5,3,2,1,4)\) is a permutation of length 5. Write a Python script to solve the following, **Given:** A positive integer \( n \leq 7 \). **Return:** The total number of permutations of length \( n \), followed by a list of all such permutations (in any order). **Sample Dataset:** ``` 3 ``` **Sample Output:** ``` 6 1 2 3 1 3 2 2 1 3 2 3 1 3 1 2 3 2 1 ``` Your script should output the data in the same format as indicated here to the terminal/console. It will receive the value of \( n \) from the user via the terminal/console.
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