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Exercise 5 Factorial is a mathematical function defined over positive integers that computes the product of all intgers less than the input. It is denoted

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Exercise 5 Factorial is a mathematical function defined over positive integers that computes the product of all intgers less than the input. It is denoted with an exclamation mark after the number and it is extremly useful in combinatorics (google what it means()). For example: 2!=12=23!=123=64!=1234=24 Write a function named factorial that takes an integer n as input and returns its factorial. Don't forget to add docstrings. Call the dunction from the main program to check that it works. Sample runs: Enter the number for which you want to compute the factorial: 5 5!=120 >> Enter the number for which you want to compute the factorial: 3 3!=6 >> Enter the number for which you want to compute the factorial: 0 !=1 > help(factorial) Help on function factorial in module __ \( { }^{\text {main__. }} \) factorial(n) Returns the product of all integers from 1 till n

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