Write a C++ program to run a menu-driven program with the following choices:

1. Count number of even digits in a number
2. Compute the factorial of a number
3. Quit

Make sure your program conforms to the following requirements:

2. Write a function called getValidUserInputPosNumGT0 that allows a user to enter an integer and validated that the number is > 0. It must have a pass by reference parameter that will store the value selected by the user. (10 points).

3. Write a function called numEvenDigits that takes a number as a value parameter and returns the count of how many digits in the number are even. (20 points).

4. Write a function called factorial that takes a number as a value parameter and returns the factorial of the number. (20 points).

n! = n * (n-1) * (n-2) * ...1

5. Add comments wherever necessary. (5 points)

Sample Runs:

NOTE: not all possible runs are shown below.

Sample Run

Welcome to the playing with numbers! 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..9 Select an option (1..3)..-9 Select an option (1..3)..1 Enter in a positive number greater than 0...12 numEvenDigits(12)= 1 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..1 Enter in a positive number greater than 0...22 numEvenDigits(22)= 2 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..1 Enter in a positive number greater than 0...1345 numEvenDigits(1345)= 1 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..1 Enter in a positive number greater than 0...2461 numEvenDigits(2461)= 3 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..2 Enter in a positive number greater than 0...1 Factorial(1) = 1 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..2 Enter in a positive number greater than 0...2 Factorial(2) = 2 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..2 Enter in a positive number greater than 0...3 Factorial(3) = 6 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..2 Enter in a positive number greater than 0...4 Factorial(4) = 24 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..2 Enter in a positive number greater than 0...5 Factorial(5) = 120 1) Count the even digits in a number 2) Compute the factorial of a number 3) Quit Select an option (1..3)..3

Process finished with exit code 0