# Skynet's Password Scramble

**Discrete Mathematics**Level 2

Killer robots are trying to take over the world. They know the password to the doomsday weapon is 5 digits long and contains either 0 or 1, and either 2 or 3, and either 4 or 5, and either 6 or 7, and either 8 or 9. If the robots can enter 5 passwords per second, how long (in seconds) will it take them to go through all the possible passwords?

**Details and assumptions**

The order of the digits matter. The password 12341 is different from the password 43211.

The password 12341 doesn't satisfy the condition, because it doesn't contain either 6 nor 7 (or alternatively because it doesn't contain either 8 or 9).