Suppose you could use [a-z], [A-Z], and [0-9] in a password (case-sensitive).

1. (5 pt.) What is the number of 6-character passwords that could be constructed from such a character set?

2. (10 pt.) How long, on average, would it take an attacker to guess such a password if she could test a password every millisecond? How many years or days required?

3. (10 pt.) Now assume 8-character passwords using [a-z], [A-Z], and [0-9] (case-sensitive). Also assume that a hacker can test a password every nanosecond. How long, on average, would it take an attacker to guess such a password? How many years or days required?