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The factorial of a non-negative integer is the product of all positive integers less than or equal to that number. For instance, the factorial of 6, denoted as 6!, is calculated as 65432*1, which equals 720. Factorials are commonly used in permutations and combinations to determine the total number of possible outcomes.
Recursive Approach
A recursive function can be used to calculate the factorial of a number. The base case of the recursion is that the factorial of 0 or 1 is 1. The recursive case uses the formula n! = n * (n – 1)!. Here's a Python function that implements this approach:
def factorial(n):if n == 0 or n == 1:return 1else:return n * factorial(n - 1)# Example usage:num = 5print(f"Factorial of {num} is {factorial(num)}")This recursive method has a time complexity of O(n) and requires O(n) auxiliary space due to the function call stack1.
Iterative Approach
Factorial Calculator n!
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Double Factorial of 10 10!! = 10 × 8 × 6 × 4 × 2 = 3,840 Note that some programming langua…
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