A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6,7,8,9}. If no digit may be repeated and each password must be at least 8 digits long, how many passwords are possible?  Choose the correct option:
A) 8! + 9!  B) 2 x 9!  C) 8! x 9!  D) 17!  E) 18!
If we choose the 9 different digits then they can be arranged in 9! ways.   The number of possible 8-digit passwords is 9*8*...*2 = 9!   The total number of passwords is 9! + 9! = 2*9!   The answer is 2 x 9!.
<result>B</result>
A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6,7,8,9}. If no digit may be repeated and each password must be at least 8 digits long, how many passwords are possible?