Factorial Factorial

Factorial of Factorials

Challenge Difficulty: Medium | Estimated completion time: ~15 minutes

Create a function that takes an integer n and returns the factorial of factorials. See below examples for a better understanding:

Examples

fact_of_fact(4)
output = 288
// 4! * 3! * 2! * 1! = 288
 
fact_of_fact(5)
output = 34560
 
fact_of_fact(6)
output = 24883200

Solution

Python

def fact_of_fact(number: int) -> int: """Calculate the factorial of factorials. Args: number: Input number Returns: Product of all factorials from 1! to number! """ def factorial(value: int) -> int: if value <= 1: return 1 result = 1 for index in range(2, value + 1): result *= index return result total = 1 for index in range(1, number + 1): total *= factorial(index) return total if __name__ == "__main__": print(fact_of_fact(4)) # 288 print(fact_of_fact(5)) # 34560 print(fact_of_fact(6)) # 24883200

Output