Question: A password consists of eight characters. The first character has to be a digit between 0 and 9 , inclusive. The next three characters are upper or lower case Roman letters A to Z or a to z. The next three characters are digits 0 to 9 . The last character is one of nine special characters: ~, l, @, #, Eli, %, ", & and *. Hint: For this question upper or lower case Roman letters are considered different.

1. How many different passwords are possible?
2. Calculate the probability that a password has three identical characters (letters, digits or both) in a row.
3. Calculate the probability that one digit of the password is the sum of three other digits.

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