Hello,

Using Python:

Write the following RECURSIVE functions to perform the following:

1. count_down(n)

Give a value n, the function prints the value n and counts down printing (n-1) until it prints0.

2. backwards_alphabet(letter):

given an alphabet letter, the function prints the letter and all previous letters till it prints a. (you may consider all lower-case letters)

3. factorial(n)

Given an integer n, the function should calculate the factorial of n according to the fomula:

Given that factorial(1)=1

Implement a main function to demonstrate that the functions work as expected.