5. You are being prompted to change your password. The allowable characters include 26 upper case letters, 26 lower case letters, 10 digits, and four special characters (!,@,#,&). Calculate how many unique passwords can be generated with each of the following scenarios. Leave your answers in combinatorics form (e.g. 3 * 985 * 6)

Scenario 1: Repetition is allowed. An 8 character password. The first character must be one of the special characters. The remaining characters must be letters or digits.

Scenario 2. No repetition is permitted. A 10 character password. For the first five characters of the password, you can only use the upper case letters and the digits. For the last five characters, you can only use the lower case letters and special characters.

Scenario 3: Password must be 9 characters. The first character must be upper case, the second must be lower case, the third must be a digit, and the fourth character must be one of the special characters. The 4 characters set aside to meet this requirement cannot be reused later. The remaining characters, however, can be repeated.