Apply counting techniques to real-world scenarios.

    A random password generator is a computer program, hardware device, or online tool used to generate passwords using a set of parameters like length, letters, numbers, symbols, and strength (Nicholas, 2016). Suppose that you want to create a password of four characters in length that can only include lower case letters and numbers from 0 to 9. Part I: Answer the following questions: Assuming repetitions are allowed, how many passwords are possible? Assuming repetitions are not allowed, how many passwords are possible? Assuming repetitions are not allowed and there must be exactly two numbers, how many passwords are possible? Assuming repetitions are not allowed and there must be exactly two numbers, located at the end of the password, how many passwords are possible? Assuming repetitions are not allowed, there must be exactly two numbers, located at the end of the password, and that the letters can only be vowels, how many passwords are possible?