A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6}. If no digit may be repeated and each password must be at least 5 digits long, how many passwords are possible?	Choose the correct choice:	A) 5! + 6!	B) 2 x 6!	C) 5! x 6!	D) 11!	E) 12!
If we choose the 6 different digits then they can be arranged in 6! ways.   The number of possible 5-digit passwords is 6*5*4*3*2 = 6!   The total number of passwords is 6! + 6! = 2*6!   The answer is 2 x 6!.
<result>B</result>
A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6}. If no digit may be repeated and each password must be at least 5 digits long, how many passwords are possible?